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Finding the Fourth Proportional to 3,692.76, 5,540.13 and 1,612.95

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Solution

The fourth proportional to 3,692.76, 5,540.13 and 1,612.95 is: 2,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.76 : 5,540.13 = 1,612.95 : x
  2. Step 2: Convert to fraction form
    3,692.76/5,540.13 = 1,612.95/x
  3. Step 3: Cross multiply
    3,692.76x = 5,540.13 × 1,612.95
  4. Step 4: Simplify right side
    3,692.76x = 8,935,931.91
  5. Step 5: Solve for x
    x = 8,935,931.91/3,692.76
  6. Step 6: Final answer
    x = 2,419.85

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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.