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Finding the Fourth Proportional to 7,167.97, 10,755.12 and 2,785.76

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Solution

The fourth proportional to 7,167.97, 10,755.12 and 2,785.76 is: 4,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.97 : 10,755.12 = 2,785.76 : x
  2. Step 2: Convert to fraction form
    7,167.97/10,755.12 = 2,785.76/x
  3. Step 3: Cross multiply
    7,167.97x = 10,755.12 × 2,785.76
  4. Step 4: Simplify right side
    7,167.97x = 29,961,129.32
  5. Step 5: Solve for x
    x = 29,961,129.32/7,167.97
  6. Step 6: Final answer
    x = 4,179.87

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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.