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Finding the Fourth Proportional to 10,462.77, 15,692.42 and 3,442.87

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Solution

The fourth proportional to 10,462.77, 15,692.42 and 3,442.87 is: 5,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.77 : 15,692.42 = 3,442.87 : x
  2. Step 2: Convert to fraction form
    10,462.77/15,692.42 = 3,442.87/x
  3. Step 3: Cross multiply
    10,462.77x = 15,692.42 × 3,442.87
  4. Step 4: Simplify right side
    10,462.77x = 54,026,962.05
  5. Step 5: Solve for x
    x = 54,026,962.05/10,462.77
  6. Step 6: Final answer
    x = 5,163.73

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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.