Final answer:
The solution to the proportion 3/5 = 13/x is found by cross-multiplying and solving for x. After performing the calculations, the value of x is approximately 21.7, corresponding to option B.
Step-by-step explanation:
To solve the proportion 3/5 = 13/x, we need to find the value of x that makes the two ratios equal. We can do this by cross-multiplying. This involves multiplying the numerator of the first ratio by the denominator of the second ratio, and the numerator of the second ratio by the denominator of the first ratio. Formally, the equation will look like this after cross-multiplying:
3 * x = 5 * 13
To find x, we then divide both sides by 3:
x = (5 * 13) / 3
x = 65 / 3
x ≈ 21.7 when rounded to the nearest tenth
Therefore, the solution of the proportion is approximately 21.7, which corresponds to option B.