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Finding the Fourth Proportional to 3,880.54, 5,819.40 and 1,414.78

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Solution

The fourth proportional to 3,880.54, 5,819.40 and 1,414.78 is: 2,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.54 : 5,819.40 = 1,414.78 : x
  2. Step 2: Convert to fraction form
    3,880.54/5,819.40 = 1,414.78/x
  3. Step 3: Cross multiply
    3,880.54x = 5,819.40 × 1,414.78
  4. Step 4: Simplify right side
    3,880.54x = 8,233,170.73
  5. Step 5: Solve for x
    x = 8,233,170.73/3,880.54
  6. Step 6: Final answer
    x = 2,121.66

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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.