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Finding the Fourth Proportional to 13,651.86, 20,469 and 5,759.49

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Solution

The fourth proportional to 13,651.86, 20,469 and 5,759.49 is: 8,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.86 : 20,469 = 5,759.49 : x
  2. Step 2: Convert to fraction form
    13,651.86/20,469 = 5,759.49/x
  3. Step 3: Cross multiply
    13,651.86x = 20,469 × 5,759.49
  4. Step 4: Simplify right side
    13,651.86x = 117,891,000.81
  5. Step 5: Solve for x
    x = 117,891,000.81/13,651.86
  6. Step 6: Final answer
    x = 8,635.53

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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.