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Finding the Fourth Proportional to 12,471.17, 18,692.40 and 5,449.53

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Solution

The fourth proportional to 12,471.17, 18,692.40 and 5,449.53 is: 8,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.17 : 18,692.40 = 5,449.53 : x
  2. Step 2: Convert to fraction form
    12,471.17/18,692.40 = 5,449.53/x
  3. Step 3: Cross multiply
    12,471.17x = 18,692.40 × 5,449.53
  4. Step 4: Simplify right side
    12,471.17x = 101,864,885.10
  5. Step 5: Solve for x
    x = 101,864,885.10/12,471.17
  6. Step 6: Final answer
    x = 8,168.03

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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.