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Finding the Fourth Proportional to 3,902.76, 5,855.10 and 2,981.16

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Solution

The fourth proportional to 3,902.76, 5,855.10 and 2,981.16 is: 4,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.76 : 5,855.10 = 2,981.16 : x
  2. Step 2: Convert to fraction form
    3,902.76/5,855.10 = 2,981.16/x
  3. Step 3: Cross multiply
    3,902.76x = 5,855.10 × 2,981.16
  4. Step 4: Simplify right side
    3,902.76x = 17,454,989.92
  5. Step 5: Solve for x
    x = 17,454,989.92/3,902.76
  6. Step 6: Final answer
    x = 4,472.47

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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.