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Finding the Fourth Proportional to 6,589.92, 9,885 and 2,691.90

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Solution

The fourth proportional to 6,589.92, 9,885 and 2,691.90 is: 4,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.92 : 9,885 = 2,691.90 : x
  2. Step 2: Convert to fraction form
    6,589.92/9,885 = 2,691.90/x
  3. Step 3: Cross multiply
    6,589.92x = 9,885 × 2,691.90
  4. Step 4: Simplify right side
    6,589.92x = 26,609,431.50
  5. Step 5: Solve for x
    x = 26,609,431.50/6,589.92
  6. Step 6: Final answer
    x = 4,037.90

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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.