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Finding the Fourth Proportional to 3,517.80, 5,251.74 and 3,129

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Solution

The fourth proportional to 3,517.80, 5,251.74 and 3,129 is: 4,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.80 : 5,251.74 = 3,129 : x
  2. Step 2: Convert to fraction form
    3,517.80/5,251.74 = 3,129/x
  3. Step 3: Cross multiply
    3,517.80x = 5,251.74 × 3,129
  4. Step 4: Simplify right side
    3,517.80x = 16,432,694.46
  5. Step 5: Solve for x
    x = 16,432,694.46/3,517.80
  6. Step 6: Final answer
    x = 4,671.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.