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Finding the Fourth Proportional to 19,868, 29,801.33 and 9,332.13

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Solution

The fourth proportional to 19,868, 29,801.33 and 9,332.13 is: 13,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868 : 29,801.33 = 9,332.13 : x
  2. Step 2: Convert to fraction form
    19,868/29,801.33 = 9,332.13/x
  3. Step 3: Cross multiply
    19,868x = 29,801.33 × 9,332.13
  4. Step 4: Simplify right side
    19,868x = 278,109,885.73
  5. Step 5: Solve for x
    x = 278,109,885.73/19,868
  6. Step 6: Final answer
    x = 13,997.88

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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.