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Finding the Fourth Proportional to 10,432.80, 15,562.08 and 9,447.84

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Solution

The fourth proportional to 10,432.80, 15,562.08 and 9,447.84 is: 14,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.80 : 15,562.08 = 9,447.84 : x
  2. Step 2: Convert to fraction form
    10,432.80/15,562.08 = 9,447.84/x
  3. Step 3: Cross multiply
    10,432.80x = 15,562.08 × 9,447.84
  4. Step 4: Simplify right side
    10,432.80x = 147,028,041.91
  5. Step 5: Solve for x
    x = 147,028,041.91/10,432.80
  6. Step 6: Final answer
    x = 14,092.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.