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Finding the Fourth Proportional to 8,327.24, 12,472.68 and 6,463.88

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Solution

The fourth proportional to 8,327.24, 12,472.68 and 6,463.88 is: 9,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.24 : 12,472.68 = 6,463.88 : x
  2. Step 2: Convert to fraction form
    8,327.24/12,472.68 = 6,463.88/x
  3. Step 3: Cross multiply
    8,327.24x = 12,472.68 × 6,463.88
  4. Step 4: Simplify right side
    8,327.24x = 80,621,906.80
  5. Step 5: Solve for x
    x = 80,621,906.80/8,327.24
  6. Step 6: Final answer
    x = 9,681.71

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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.