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Solve for j in the proportion (j/36) = (21/28).

User Sanjihan
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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).

User Jivimberg
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