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All courses Math Foundations · MF.PR.4 18 of 60
Use ratio tables and double number lines to solve missing-value and scaling problems.

Complete a ratio table entry

Problem
Use the ratio table to find the missing number.
Ratio table with columns Apples and Dollars. The first row shows 3 apples and 2 dollars. The second row shows 12 apples and a blank dollar value. Open full size
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Hint

Look at the apples column first: how do you get from 3 apples to 12 apples?

In a ratio table, both entries in a row must scale by the same multiplicative factor to keep the ratio equivalent.

Solution walkthrough

01

Read the known and target rows

\[3~\text{apples}~=~\$2;~12~\text{apples}~=~?~\text{dollars}\]

The inspected table pairs 3 apples with 2 dollars and leaves the dollar value for 12 apples blank.

02

Find the apple scale factor

\[12~/~3~=~4\]

The number of apples is multiplied by 4.

03

Scale dollars by the same factor

\[\$2~\times~4~=~\$8\]

Using the same factor preserves the apples-to-dollars ratio.

04

Check and fill the blank

\[8\]

The completed pair is 12 apples for 8 dollars; dividing both terms by 4 returns 3 apples for 2 dollars.

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Another way

  1. Find the cost per apple, $2/3, then multiply by 12 to get $8.

!

Common mistake

Do not add 9 to the dollar amount because apples increased by 9. Proportional tables use multiplicative scaling.

Solution walkthrough video