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

1 answer

To find the equivalent ratio of 12:9 as 4:x, we need to determine what value of x will maintain the same ratio.

We can start by simplifying the ratio 12:9 by dividing both the numerator and denominator by 3:

12/3 : 9/3

4 : 3

Now we can compare this to the ratio 4:x:

4 : x

We know that the ratios 4:3 and 4:x must be equal. To find x, we can set up a proportion:

4/3 = 4/x

To solve for x, we can cross-multiply:

4x = 12

x = 3

Therefore, the equivalent ratio of 12:9 as 4:x is 4:3 or 12:9 is equivalent to 4:3.