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Finding the Fourth Proportional to 8,138.77, 12,207.49 and 2,591.89

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Solution

The fourth proportional to 8,138.77, 12,207.49 and 2,591.89 is: 3,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.77 : 12,207.49 = 2,591.89 : x
  2. Step 2: Convert to fraction form
    8,138.77/12,207.49 = 2,591.89/x
  3. Step 3: Cross multiply
    8,138.77x = 12,207.49 × 2,591.89
  4. Step 4: Simplify right side
    8,138.77x = 31,640,458.30
  5. Step 5: Solve for x
    x = 31,640,458.30/8,138.77
  6. Step 6: Final answer
    x = 3,887.62

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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.