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Finding the Fourth Proportional to 3,422.78, 5,137.41 and 1,692.62

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Solution

The fourth proportional to 3,422.78, 5,137.41 and 1,692.62 is: 2,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.78 : 5,137.41 = 1,692.62 : x
  2. Step 2: Convert to fraction form
    3,422.78/5,137.41 = 1,692.62/x
  3. Step 3: Cross multiply
    3,422.78x = 5,137.41 × 1,692.62
  4. Step 4: Simplify right side
    3,422.78x = 8,695,682.91
  5. Step 5: Solve for x
    x = 8,695,682.91/3,422.78
  6. Step 6: Final answer
    x = 2,540.53

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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.