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Finding the Fourth Proportional to 8,338.92, 12,513.30 and 3,077.64

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Solution

The fourth proportional to 8,338.92, 12,513.30 and 3,077.64 is: 4,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.92 : 12,513.30 = 3,077.64 : x
  2. Step 2: Convert to fraction form
    8,338.92/12,513.30 = 3,077.64/x
  3. Step 3: Cross multiply
    8,338.92x = 12,513.30 × 3,077.64
  4. Step 4: Simplify right side
    8,338.92x = 38,511,432.61
  5. Step 5: Solve for x
    x = 38,511,432.61/8,338.92
  6. Step 6: Final answer
    x = 4,618.28

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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.