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Finding the Fourth Proportional to 12,408.78, 18,614.14 and 3,523.97

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Solution

The fourth proportional to 12,408.78, 18,614.14 and 3,523.97 is: 5,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.78 : 18,614.14 = 3,523.97 : x
  2. Step 2: Convert to fraction form
    12,408.78/18,614.14 = 3,523.97/x
  3. Step 3: Cross multiply
    12,408.78x = 18,614.14 × 3,523.97
  4. Step 4: Simplify right side
    12,408.78x = 65,595,569.06
  5. Step 5: Solve for x
    x = 65,595,569.06/12,408.78
  6. Step 6: Final answer
    x = 5,286.22

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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.