Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio

Step 1:

Since the table gives values of equivalent ratios

$\frac{x}{24} = \frac{12}{18}; x = \frac{12}{18} \times 24 = \frac{12}{18} \times \frac{24}{1} = 16$

Step 2:

So, missing quantity, x = 16

Example 2

Find the missing quantity in the following table of equivalent ratios.

Step 1:

Since the table gives values of equivalent ratios

$\frac{x}{3} = \frac{24}{18}; x = \frac{24}{18} \times 3 = \frac{24}{18} \times \frac{3}{1} = 4$

Step 2:

So, missing quantity, x = 4

Example 3

Find the missing quantity in the following table of equivalent ratios.

Step 1:

Since the table gives values of equivalent ratios

$\frac{x}{9} = \frac{28}{63}; x = \frac{28}{63} \times 9 = \frac{28}{63} \times \frac{9}{1} = 4$

Step 2:

So, missing quantity, x = 4