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Finding the Fourth Proportional to 3,737.92, 5,158.56 and 2,081.92

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Solution

The fourth proportional to 3,737.92, 5,158.56 and 2,081.92 is: 2,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.92 : 5,158.56 = 2,081.92 : x
  2. Step 2: Convert to fraction form
    3,737.92/5,158.56 = 2,081.92/x
  3. Step 3: Cross multiply
    3,737.92x = 5,158.56 × 2,081.92
  4. Step 4: Simplify right side
    3,737.92x = 10,739,709.24
  5. Step 5: Solve for x
    x = 10,739,709.24/3,737.92
  6. Step 6: Final answer
    x = 2,873.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.