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Finding the Fourth Proportional to 3,737, 5,157.06 and 2,081

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Solution

The fourth proportional to 3,737, 5,157.06 and 2,081 is: 2,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737 : 5,157.06 = 2,081 : x
  2. Step 2: Convert to fraction form
    3,737/5,157.06 = 2,081/x
  3. Step 3: Cross multiply
    3,737x = 5,157.06 × 2,081
  4. Step 4: Simplify right side
    3,737x = 10,731,841.86
  5. Step 5: Solve for x
    x = 10,731,841.86/3,737
  6. Step 6: Final answer
    x = 2,871.78

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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.