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Finding the Fourth Proportional to 3,691.52, 5,535.93 and 1,225.88

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Solution

The fourth proportional to 3,691.52, 5,535.93 and 1,225.88 is: 1,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.52 : 5,535.93 = 1,225.88 : x
  2. Step 2: Convert to fraction form
    3,691.52/5,535.93 = 1,225.88/x
  3. Step 3: Cross multiply
    3,691.52x = 5,535.93 × 1,225.88
  4. Step 4: Simplify right side
    3,691.52x = 6,786,385.87
  5. Step 5: Solve for x
    x = 6,786,385.87/3,691.52
  6. Step 6: Final answer
    x = 1,838.37

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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.