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Finding the Fourth Proportional to 5,691.74, 7,854.30 and 3,174.11

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Solution

The fourth proportional to 5,691.74, 7,854.30 and 3,174.11 is: 4,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.74 : 7,854.30 = 3,174.11 : x
  2. Step 2: Convert to fraction form
    5,691.74/7,854.30 = 3,174.11/x
  3. Step 3: Cross multiply
    5,691.74x = 7,854.30 × 3,174.11
  4. Step 4: Simplify right side
    5,691.74x = 24,930,412.17
  5. Step 5: Solve for x
    x = 24,930,412.17/5,691.74
  6. Step 6: Final answer
    x = 4,380.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.