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Finding the Fourth Proportional to 8,767.68, 13,151.52 and 8,177.12

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Solution

The fourth proportional to 8,767.68, 13,151.52 and 8,177.12 is: 12,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.68 : 13,151.52 = 8,177.12 : x
  2. Step 2: Convert to fraction form
    8,767.68/13,151.52 = 8,177.12/x
  3. Step 3: Cross multiply
    8,767.68x = 13,151.52 × 8,177.12
  4. Step 4: Simplify right side
    8,767.68x = 107,541,557.22
  5. Step 5: Solve for x
    x = 107,541,557.22/8,767.68
  6. Step 6: Final answer
    x = 12,265.68

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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.