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Finding the Fourth Proportional to 2,640.60, 3,956.10 and 2,227.80

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Solution

The fourth proportional to 2,640.60, 3,956.10 and 2,227.80 is: 3,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.60 : 3,956.10 = 2,227.80 : x
  2. Step 2: Convert to fraction form
    2,640.60/3,956.10 = 2,227.80/x
  3. Step 3: Cross multiply
    2,640.60x = 3,956.10 × 2,227.80
  4. Step 4: Simplify right side
    2,640.60x = 8,813,399.58
  5. Step 5: Solve for x
    x = 8,813,399.58/2,640.60
  6. Step 6: Final answer
    x = 3,337.65

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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.