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Finding the Fourth Proportional to 5,691.87, 8,535.78 and 3,493.98

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Solution

The fourth proportional to 5,691.87, 8,535.78 and 3,493.98 is: 5,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.87 : 8,535.78 = 3,493.98 : x
  2. Step 2: Convert to fraction form
    5,691.87/8,535.78 = 3,493.98/x
  3. Step 3: Cross multiply
    5,691.87x = 8,535.78 × 3,493.98
  4. Step 4: Simplify right side
    5,691.87x = 29,823,844.60
  5. Step 5: Solve for x
    x = 29,823,844.60/5,691.87
  6. Step 6: Final answer
    x = 5,239.73

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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.