Of course! Let’s solve the given equation step-by-step:
We are given the proportion:
[tex]\[
\frac{4}{5} = \frac{x}{15}
\][/tex]
where we need to find the value of \(x\) such that this proportion holds true.
1. Set up the proportion:
Given:
[tex]\[
\frac{4}{5} = \frac{x}{15}
\][/tex]
2. Cross-multiply to solve for \(x\):
This means we will multiply the numerator of one fraction by the denominator of the other fraction:
[tex]\[
4 \times 15 = 5 \times x
\][/tex]
Simplifying this, we get:
[tex]\[
60 = 5x
\][/tex]
3. Solve for \(x\):
To isolate \(x\), we divide both sides of the equation by 5:
[tex]\[
x = \frac{60}{5}
\][/tex]
Dividing, we obtain:
[tex]\[
x = 12
\][/tex]
Therefore, the value of \(x\) that makes the proportion true is:
[tex]\[
x = 12
\][/tex]
