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Finding the Fourth Proportional to 5,691.66, 7,854.24 and 3,173.70

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Solution

The fourth proportional to 5,691.66, 7,854.24 and 3,173.70 is: 4,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.66 : 7,854.24 = 3,173.70 : x
  2. Step 2: Convert to fraction form
    5,691.66/7,854.24 = 3,173.70/x
  3. Step 3: Cross multiply
    5,691.66x = 7,854.24 × 3,173.70
  4. Step 4: Simplify right side
    5,691.66x = 24,927,001.49
  5. Step 5: Solve for x
    x = 24,927,001.49/5,691.66
  6. Step 6: Final answer
    x = 4,379.57

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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.