Final answer:
To solve the proportion 1/2 : 4 = x/28, cross multiply to get (1/2) × 28 = 4 × x, which simplifies to x = 3.5.
Step-by-step explanation:
To find the value of x in the proportion 1/2 : 4 = x/28, we need to set up the proportion as an equation and solve for x. The proportion means that 1/2 of some quantity is equivalent to 4 of another quantity, and we want to know what x is when that other quantity is 28.
First, we write the proportion as an equation: (1/2)/4 = x/28. Then, we cross multiply to solve for x: (1/2) × 28 = 4 × x. Solving this, we find that x = (1/2) × 28 / 4, which simplifies to x = 3.5.
In this step-by-step explanation, we used cross multiplication and division to solve for the value of x, demonstrating the basic principles of setting up and solving proportions.