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Finding the Fourth Proportional to 5,640.38, 8,462.02 and 1,691.63

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Solution

The fourth proportional to 5,640.38, 8,462.02 and 1,691.63 is: 2,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.38 : 8,462.02 = 1,691.63 : x
  2. Step 2: Convert to fraction form
    5,640.38/8,462.02 = 1,691.63/x
  3. Step 3: Cross multiply
    5,640.38x = 8,462.02 × 1,691.63
  4. Step 4: Simplify right side
    5,640.38x = 14,314,560.35
  5. Step 5: Solve for x
    x = 14,314,560.35/5,640.38
  6. Step 6: Final answer
    x = 2,537.87

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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.