In the proportion 3/4 = x/24, what is the value of x?

In the proportion 3/4 = x/24, what is the value of x?

• A. 12
• B. 18
• C. 21
• D. 24

Answer: (B)

To find the value of x in the proportion \( \frac{3}{4} = \frac{x}{24} \), you can apply cross-multiplication. This involves multiplying the numerator of one fraction by the denominator of the other fraction. Here, cross-multiplying gives you: \[ 3 \times 24 = 4 \times x \] This simplifies to: \[ 72 = 4x \] To isolate x, divide both sides of the equation by 4: \[ x = \frac{72}{4} \] This results in: \[ x = 18 \] Thus, the value of x is 18, making this the correct answer.

To find the value of x in the proportion ( \frac{3}{4} = \frac{x}{24} ), you can apply cross-multiplication. This involves multiplying the numerator of one fraction by the denominator of the other fraction.

Here, cross-multiplying gives you:

[ 3 \times 24 = 4 \times x ]

This simplifies to:

[ 72 = 4x ]

To isolate x, divide both sides of the equation by 4:

[ x = \frac{72}{4} ]

This results in:

[ x = 18 ]

Thus, the value of x is 18, making this the correct answer.