Final answer:
To solve for j in the proportion (j/36) = (21/28), cross-multiply and simplify the equation, leading to the solution j = 27.
Step-by-step explanation:
The problem solve for j in the proportion (j/36) = (21/28) requires algebraic manipulation to isolate the variable j.
To find the value of j, we use the property of cross-multiplication in proportions. Multiply both sides of the equation by 36 (which is the denominator of the fraction on the left) to eliminate the fraction and get an equation with j on one side:
- Multiply both sides by 36: j = (21/28) * 36
- Simplify the right side: j = 21 * (36/28)
- Simplify the fraction (36/28) by dividing both numerator and denominator by their greatest common divisor, which is 4: j = 21 * (9/7)
- Multiply the two numbers: j = 21 * 9 / 7
- Simplify the multiplication and division: j = 3 * 9
- Finally, you get the solution: j = 27
Therefore, j equals 27 when (j/36) = (21/28).