Value of x in proportion 2:3::4:x is

Options

A. 8
B. 12
C. 6
D. 16

Answer

To find the value of \( x \) in the proportion \( 2:3::4:x \), we can set up the equation based on the property of proportions.

### Step-by-step Solution:

1. **Set Up the Proportion**:
We can express the proportion as a fraction:
\[ \frac{2}{3} = \frac{4}{x} \]

2. **Cross-Multiply**:
To eliminate the fractions, we cross-multiply:
\[ 2 \cdot x = 3 \cdot 4 \]

3. **Calculate the Right Side**:
Now, calculate the right side:
\[ 3 \cdot 4 = 12 \]
So, we have:
\[ 2x = 12 \]

4. **Solve for \( x \)**:
Now, divide both sides by 2 to solve for \( x \):
\[ x = \frac{12}{2} = 6 \]

5. **Conclusion**:
Therefore, the value of \( x \) is:
\[ x = 6 \]