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Finding the Fourth Proportional to 3,892.80, 5,839.20 and 1,427.70

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Solution

The fourth proportional to 3,892.80, 5,839.20 and 1,427.70 is: 2,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.80 : 5,839.20 = 1,427.70 : x
  2. Step 2: Convert to fraction form
    3,892.80/5,839.20 = 1,427.70/x
  3. Step 3: Cross multiply
    3,892.80x = 5,839.20 × 1,427.70
  4. Step 4: Simplify right side
    3,892.80x = 8,336,625.84
  5. Step 5: Solve for x
    x = 8,336,625.84/3,892.80
  6. Step 6: Final answer
    x = 2,141.55

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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.