Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc. You can find the missing value by rearranging this equation.

Front

If 4 apples cost $2, how much do 10 apples cost?

Back

$5 (Set up the proportion: 4/2 = 10/x, cross-multiply to find x).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

If a car travels 300 miles in 5 hours, what is the unit rate of speed?

Back

60 miles per hour (300 miles ÷ 5 hours).

Front

How can you use proportions to make predictions?

Back

You can use proportions to predict outcomes based on known ratios, such as estimating how many items will be produced based on a smaller sample.

Front

If 8 quizzes are taken in 2 weeks, how many quizzes will be taken in 5 weeks?

Back

20 quizzes (Set up the proportion: 8/2 = x/5, cross-multiply to find x).

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions show that two ratios are equal.

Front

If 14 out of 20 free throws are made, how many out of 30 can be expected to be made?

Back

21 free throws (Set up the proportion: 14/20 = x/30, cross-multiply to find x).