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Finding the Fourth Proportional to 13,469.71, 18,589.89 and 8,163.85

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Solution

The fourth proportional to 13,469.71, 18,589.89 and 8,163.85 is: 11,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.71 : 18,589.89 = 8,163.85 : x
  2. Step 2: Convert to fraction form
    13,469.71/18,589.89 = 8,163.85/x
  3. Step 3: Cross multiply
    13,469.71x = 18,589.89 × 8,163.85
  4. Step 4: Simplify right side
    13,469.71x = 151,765,057.62
  5. Step 5: Solve for x
    x = 151,765,057.62/13,469.71
  6. Step 6: Final answer
    x = 11,267.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.