# Using Proportions To Solve Word Problems

We can also use cross products to find a missing term in a proportion. In a horror movie featuring a giant beetle, the beetle appeared to be 50 feet long.

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We can divide both sides of the equation by the same number, without changing the meaning of the equation.

When we divide both sides by 20, we find that the building will appear to be 75 feet tall.

Example: If a car gets 20 miles to the gallon, how many gallons of gas will it use to travel 180 miles?

We will learn how to solve word problems using proportion. If x : y = 4 : 5 and y : z = 6 : 7; find x : y : z.

If four numbers p, q, r and s are in proportion, then p and s are called the extreme terms and q and r are called the middle terms. p × s) is equal to the product of middle terms (i.e. Solution:x : y = 4 : 5 = 4/5 : 1, [Dividing each term by 5]y : z = 6 : 7 = 1 : 7/6, [Dividing each term by 6]In both the given ratios, the quantity y is common, so we have made the value of y same i.e., 1. of 5 and 6 i.e., 30] = 24 : 30 : 35Therefore, x : y : z = 24 : 30 : 356.

If yes write them in proper form.(i) 32, 48, 140, 210; (ii) 6, 9, 10 and 16Solution:(i) 32, 48, 140, 210 32 : 48 = 32/48 = 2/3 = 2 : 3140 : 210 = 140/210 = 2/3 = 2 : 3So, 32 : 48 = 140 : 210Therefore, 32, 48, 140, 210 are in proportion.i.e., 32 : 48 :: 140 : 210 5.We have 3 worksheets for each topic in the tutorial.This video shows the method to solve word problems using proportions. We type '30 words' in the numerator of the first fraction and 1 minute in its denominator.A proportion is simply a statement that two ratios are equal.It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d.The following proportion is read as "twenty is to twenty-five as four is to five." In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion.To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.To practice Math skills, there is nothing more effective than solving worksheets.Our free to download, printable worksheets help you practice Math concepts, and improve your analytical and problem-solving skills.Thus; x : y : z = 4/5 : 1 : 7/6 = (4/5 × 30) : (1 × 30) : (7/6 × 30), [Multiply all the terms by the L. The ratio of the length to the width of a sheet of paper is 3 : 2. Solution: Let the width of the sheet of paper be x cm The length of the sheet of paper be 12 cm.(Given)According to the given statement, 12 : x = 3 : 2⇒ x × 3 = 12 × 2, [Since, the product of the means = the product of the extremes]⇒ x = (12 × 2)/3⇒ x = 8Therefore, the width of the sheet of paper is 8 cm.7.

## Comments Using Proportions To Solve Word Problems

• ###### Using Proportions to Solve Problems - SlideShare

Using Proportions to Solve Problems 1. Using Proportions to solve Problemsbr /Many application problems can be easily solved using proportions.br /…

• ###### Ratio Word Problems solutions, examples, videos

Ratio Word Problems relating different things using ratios and algebra, how to solve ratio word problems that have two-term ratios or three-term ratios, examples and step by step solutions, How to solve proportion word problems, questions and answers…

• ###### Percent and Proportions Math Goodies

Now that we have solved a number of percent problems using proportions, we can go back to the type of problem presented at the beginning of this lesson In Problems 8 through 10 we will solve real world problems, using different variables to represent the unknown quantity in each problem.…

• ###### Free proportion worksheets for grades 6, 7, and 8

Create proportion worksheets to solve proportions or word problems e.g. speed/distance or cost/amount problems. Available both as PDF and html files. Other options include using whole numbers only, numbers with a certain range, or numbers with a certain number of decimal digits.…

• ###### How to Solve math problems using proportions « Math.

Proportions or ratios are fundamental concepts of mathematics. A proportions is an equation that states that two ratios are equal. Hence proportion can be written in two ways as ab=cd or a/b=c/d. In these equations a and d are called as extremes and b,c are called as means. So when working with proportions we can state that product of the.…

• ###### Using proportions to solve word problems - uk

The public must show extra caution with fireworks and bonfires after the loss of 500 firefighters in England in the last year has left services struggling, their union said.…

• ###### How to Solve word problems using proportions « Math.

This video shows the method to solve word problems using proportions. In the given problem, we have to find the time taken by a person to type 390 words if the person takes 1 minute to type 30 words. This can be solved using proportions. We take two fractions which are equal. We type '30 words' in the numerator of the first fraction and 1.…