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Finding the Fourth Proportional to 10,866.32, 16,304.95 and 8,098.55

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Solution

The fourth proportional to 10,866.32, 16,304.95 and 8,098.55 is: 12,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.32 : 16,304.95 = 8,098.55 : x
  2. Step 2: Convert to fraction form
    10,866.32/16,304.95 = 8,098.55/x
  3. Step 3: Cross multiply
    10,866.32x = 16,304.95 × 8,098.55
  4. Step 4: Simplify right side
    10,866.32x = 132,046,503.71
  5. Step 5: Solve for x
    x = 132,046,503.71/10,866.32
  6. Step 6: Final answer
    x = 12,151.90

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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.