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Finding the Fourth Proportional to 20,294.38, 30,437.92 and 9,199

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Solution

The fourth proportional to 20,294.38, 30,437.92 and 9,199 is: 13,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.38 : 30,437.92 = 9,199 : x
  2. Step 2: Convert to fraction form
    20,294.38/30,437.92 = 9,199/x
  3. Step 3: Cross multiply
    20,294.38x = 30,437.92 × 9,199
  4. Step 4: Simplify right side
    20,294.38x = 279,998,426.08
  5. Step 5: Solve for x
    x = 279,998,426.08/20,294.38
  6. Step 6: Final answer
    x = 13,796.85

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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.