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Finding the Fourth Proportional to 3,640.32, 5,452.80 and 2,956.80

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Solution

The fourth proportional to 3,640.32, 5,452.80 and 2,956.80 is: 4,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.32 : 5,452.80 = 2,956.80 : x
  2. Step 2: Convert to fraction form
    3,640.32/5,452.80 = 2,956.80/x
  3. Step 3: Cross multiply
    3,640.32x = 5,452.80 × 2,956.80
  4. Step 4: Simplify right side
    3,640.32x = 16,122,839.04
  5. Step 5: Solve for x
    x = 16,122,839.04/3,640.32
  6. Step 6: Final answer
    x = 4,428.96

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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.