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Finding the Fourth Proportional to 15,732, 21,709.90 and 8,658.28

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Solution

The fourth proportional to 15,732, 21,709.90 and 8,658.28 is: 11,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732 : 21,709.90 = 8,658.28 : x
  2. Step 2: Convert to fraction form
    15,732/21,709.90 = 8,658.28/x
  3. Step 3: Cross multiply
    15,732x = 21,709.90 × 8,658.28
  4. Step 4: Simplify right side
    15,732x = 187,970,392.97
  5. Step 5: Solve for x
    x = 187,970,392.97/15,732
  6. Step 6: Final answer
    x = 11,948.28

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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.