Question

Erie the ratio 12 : 9 as an equivalent ratio of 4 : c. Write your answer as a completed ratio

Answer 1

To find the value of \( c \) in the equivalent ratio \( 4 : c \) to the ratio \( 12 : 9 \), we can set up a proportion:

\[
\frac{12}{9} = \frac{4}{c}
\]

We can cross-multiply to solve for \( c \):

\[
12c = 4 \times 9
\]

Calculating the right side:

\[
12c = 36
\]

Now, divide both sides by 12:

\[
c = \frac{36}{12} = 3
\]

So, the equivalent ratio is:

\[
4 : 3
\]