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Finding the Fourth Proportional to 3,691.76, 5,531.86 and 2,320.88

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Solution

The fourth proportional to 3,691.76, 5,531.86 and 2,320.88 is: 3,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.76 : 5,531.86 = 2,320.88 : x
  2. Step 2: Convert to fraction form
    3,691.76/5,531.86 = 2,320.88/x
  3. Step 3: Cross multiply
    3,691.76x = 5,531.86 × 2,320.88
  4. Step 4: Simplify right side
    3,691.76x = 12,838,783.24
  5. Step 5: Solve for x
    x = 12,838,783.24/3,691.76
  6. Step 6: Final answer
    x = 3,477.69

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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.