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Finding the Fourth Proportional to 3,692.64, 5,542.60 and 1,961.26

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Solution

The fourth proportional to 3,692.64, 5,542.60 and 1,961.26 is: 2,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.64 : 5,542.60 = 1,961.26 : x
  2. Step 2: Convert to fraction form
    3,692.64/5,542.60 = 1,961.26/x
  3. Step 3: Cross multiply
    3,692.64x = 5,542.60 × 1,961.26
  4. Step 4: Simplify right side
    3,692.64x = 10,870,479.68
  5. Step 5: Solve for x
    x = 10,870,479.68/3,692.64
  6. Step 6: Final answer
    x = 2,943.82

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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.