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Finding the Fourth Proportional to 13,524, 20,286.08 and 3,662.56

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Solution

The fourth proportional to 13,524, 20,286.08 and 3,662.56 is: 5,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524 : 20,286.08 = 3,662.56 : x
  2. Step 2: Convert to fraction form
    13,524/20,286.08 = 3,662.56/x
  3. Step 3: Cross multiply
    13,524x = 20,286.08 × 3,662.56
  4. Step 4: Simplify right side
    13,524x = 74,298,985.16
  5. Step 5: Solve for x
    x = 74,298,985.16/13,524
  6. Step 6: Final answer
    x = 5,493.86

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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.