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Finding the Fourth Proportional to 8,461.92, 12,691.68 and 3,267.78

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Solution

The fourth proportional to 8,461.92, 12,691.68 and 3,267.78 is: 4,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.92 : 12,691.68 = 3,267.78 : x
  2. Step 2: Convert to fraction form
    8,461.92/12,691.68 = 3,267.78/x
  3. Step 3: Cross multiply
    8,461.92x = 12,691.68 × 3,267.78
  4. Step 4: Simplify right side
    8,461.92x = 41,473,618.07
  5. Step 5: Solve for x
    x = 41,473,618.07/8,461.92
  6. Step 6: Final answer
    x = 4,901.21

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Why These Related Problems?

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