Question

What is the value of x in the proportion below? 1/2/4=x/28

Answer 1

Answer:

depends on whether you meant (1/2)/4  or 1/ (2/4)

Step-by-step explanation:

1/2                 x

---------- = -------------

4                   28

Using cross products

1/2* 28 = 4x

14 = 4x

Divide by 4

14/4 = 4x/4

7/2 =x

If you meant

1                 x

---------- = -------------

2/4                   28

1 * 28 = 2/4 x

28 = 1/2 x

Multiply each side by 2

28*2 = 1/2x*2

56 =x

Answer 2

Answer:

$\large\boxed{x=\dfrac{7}{2}=3.5}$

Step-by-step explanation:

$\dfrac{\frac{1}{2}}{4}=\dfrac{x}{28}\qquad\text{cross multiply}\\\\4x=\left(\dfrac{1}{2\!\!\!\!\diagup_1}\right)\cdot28\!\!\!\!\!\!\diagup^{14}\\\\4x=14\qquad\text{divide both sides by 4}\\\\x=\dfrac{14}{4}\\\\x=\dfrac{14:2}{4:2}\\\\x=\dfrac{7}{2}$