Write the ratio 12:9 as an equivalent ratio of 4:x

Answer 1

To find an equivalent ratio, we need to find a value of x that will maintain the same ratio as 12:9.

First, we find the common ratio by dividing both numbers in the given ratio by their greatest common divisor, which is 3.
12 ÷ 3 = 4
9 ÷ 3 = 3

So, the simplified ratio is 4:3.

To find an equivalent ratio of 4:x, we need to find a value of x that will maintain the same ratio.
Since the ratio is 4:3, we can set up a proportion:
4/3 = 4/x

To solve for x, we can cross-multiply:
4x = 4 * 3
4x = 12

Divide both sides by 4 to solve for x:
x = 12/4
x = 3

So, the equivalent ratio of 12:9 as 4:x is 4:3.