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Finding the Fourth Proportional to 3,937.74, 5,902.77 and 1,747.02

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Solution

The fourth proportional to 3,937.74, 5,902.77 and 1,747.02 is: 2,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.74 : 5,902.77 = 1,747.02 : x
  2. Step 2: Convert to fraction form
    3,937.74/5,902.77 = 1,747.02/x
  3. Step 3: Cross multiply
    3,937.74x = 5,902.77 × 1,747.02
  4. Step 4: Simplify right side
    3,937.74x = 10,312,257.25
  5. Step 5: Solve for x
    x = 10,312,257.25/3,937.74
  6. Step 6: Final answer
    x = 2,618.83

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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.