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Finding the Fourth Proportional to 28,959, 39,963.42 and 15,711

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Solution

The fourth proportional to 28,959, 39,963.42 and 15,711 is: 21,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,959 : 39,963.42 = 15,711 : x
  2. Step 2: Convert to fraction form
    28,959/39,963.42 = 15,711/x
  3. Step 3: Cross multiply
    28,959x = 39,963.42 × 15,711
  4. Step 4: Simplify right side
    28,959x = 627,865,291.62
  5. Step 5: Solve for x
    x = 627,865,291.62/28,959
  6. Step 6: Final answer
    x = 21,681.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.