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Finding the Fourth Proportional to 3,691.41, 5,539.61 and 2,769.22

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Solution

The fourth proportional to 3,691.41, 5,539.61 and 2,769.22 is: 4,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.41 : 5,539.61 = 2,769.22 : x
  2. Step 2: Convert to fraction form
    3,691.41/5,539.61 = 2,769.22/x
  3. Step 3: Cross multiply
    3,691.41x = 5,539.61 × 2,769.22
  4. Step 4: Simplify right side
    3,691.41x = 15,340,384.96
  5. Step 5: Solve for x
    x = 15,340,384.96/3,691.41
  6. Step 6: Final answer
    x = 4,155.70

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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.