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Finding the Fourth Proportional to 3,902.80, 5,847.72 and 2,746.12

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Solution

The fourth proportional to 3,902.80, 5,847.72 and 2,746.12 is: 4,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.80 : 5,847.72 = 2,746.12 : x
  2. Step 2: Convert to fraction form
    3,902.80/5,847.72 = 2,746.12/x
  3. Step 3: Cross multiply
    3,902.80x = 5,847.72 × 2,746.12
  4. Step 4: Simplify right side
    3,902.80x = 16,058,540.85
  5. Step 5: Solve for x
    x = 16,058,540.85/3,902.80
  6. Step 6: Final answer
    x = 4,114.62

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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.