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Finding the Fourth Proportional to 11,850.49, 17,780.92 and 5,614.95

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Solution

The fourth proportional to 11,850.49, 17,780.92 and 5,614.95 is: 8,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.49 : 17,780.92 = 5,614.95 : x
  2. Step 2: Convert to fraction form
    11,850.49/17,780.92 = 5,614.95/x
  3. Step 3: Cross multiply
    11,850.49x = 17,780.92 × 5,614.95
  4. Step 4: Simplify right side
    11,850.49x = 99,838,976.75
  5. Step 5: Solve for x
    x = 99,838,976.75/11,850.49
  6. Step 6: Final answer
    x = 8,424.88

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