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Finding the Fourth Proportional to 13,617.62, 20,424 and 3,622.42

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Solution

The fourth proportional to 13,617.62, 20,424 and 3,622.42 is: 5,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.62 : 20,424 = 3,622.42 : x
  2. Step 2: Convert to fraction form
    13,617.62/20,424 = 3,622.42/x
  3. Step 3: Cross multiply
    13,617.62x = 20,424 × 3,622.42
  4. Step 4: Simplify right side
    13,617.62x = 73,984,306.08
  5. Step 5: Solve for x
    x = 73,984,306.08/13,617.62
  6. Step 6: Final answer
    x = 5,432.98

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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.