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Finding the Fourth Proportional to 19,957.28, 29,937.20 and 11,732

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Solution

The fourth proportional to 19,957.28, 29,937.20 and 11,732 is: 17,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.28 : 29,937.20 = 11,732 : x
  2. Step 2: Convert to fraction form
    19,957.28/29,937.20 = 11,732/x
  3. Step 3: Cross multiply
    19,957.28x = 29,937.20 × 11,732
  4. Step 4: Simplify right side
    19,957.28x = 351,223,230.40
  5. Step 5: Solve for x
    x = 351,223,230.40/19,957.28
  6. Step 6: Final answer
    x = 17,598.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.