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Finding the Fourth Proportional to 3,692.64, 5,092.56 and 2,642.88

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Solution

The fourth proportional to 3,692.64, 5,092.56 and 2,642.88 is: 3,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.64 : 5,092.56 = 2,642.88 : x
  2. Step 2: Convert to fraction form
    3,692.64/5,092.56 = 2,642.88/x
  3. Step 3: Cross multiply
    3,692.64x = 5,092.56 × 2,642.88
  4. Step 4: Simplify right side
    3,692.64x = 13,459,024.97
  5. Step 5: Solve for x
    x = 13,459,024.97/3,692.64
  6. Step 6: Final answer
    x = 3,644.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.