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Finding the Fourth Proportional to 4,921.54, 7,385.64 and 3,691.96

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Solution

The fourth proportional to 4,921.54, 7,385.64 and 3,691.96 is: 5,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.54 : 7,385.64 = 3,691.96 : x
  2. Step 2: Convert to fraction form
    4,921.54/7,385.64 = 3,691.96/x
  3. Step 3: Cross multiply
    4,921.54x = 7,385.64 × 3,691.96
  4. Step 4: Simplify right side
    4,921.54x = 27,267,487.45
  5. Step 5: Solve for x
    x = 27,267,487.45/4,921.54
  6. Step 6: Final answer
    x = 5,540.44

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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.