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Finding the Fourth Proportional to 3,691.35, 5,542.62 and 3,177

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Solution

The fourth proportional to 3,691.35, 5,542.62 and 3,177 is: 4,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.35 : 5,542.62 = 3,177 : x
  2. Step 2: Convert to fraction form
    3,691.35/5,542.62 = 3,177/x
  3. Step 3: Cross multiply
    3,691.35x = 5,542.62 × 3,177
  4. Step 4: Simplify right side
    3,691.35x = 17,608,903.74
  5. Step 5: Solve for x
    x = 17,608,903.74/3,691.35
  6. Step 6: Final answer
    x = 4,770.32

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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.