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Finding the Fourth Proportional to 3,692.59, 5,540.95 and 1,961.17

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Solution

The fourth proportional to 3,692.59, 5,540.95 and 1,961.17 is: 2,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.59 : 5,540.95 = 1,961.17 : x
  2. Step 2: Convert to fraction form
    3,692.59/5,540.95 = 1,961.17/x
  3. Step 3: Cross multiply
    3,692.59x = 5,540.95 × 1,961.17
  4. Step 4: Simplify right side
    3,692.59x = 10,866,717.21
  5. Step 5: Solve for x
    x = 10,866,717.21/3,692.59
  6. Step 6: Final answer
    x = 2,942.85

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1.5x scale

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.