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Finding the Fourth Proportional to 24,867, 34,318.08 and 13,689

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Solution

The fourth proportional to 24,867, 34,318.08 and 13,689 is: 18,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867 : 34,318.08 = 13,689 : x
  2. Step 2: Convert to fraction form
    24,867/34,318.08 = 13,689/x
  3. Step 3: Cross multiply
    24,867x = 34,318.08 × 13,689
  4. Step 4: Simplify right side
    24,867x = 469,780,197.12
  5. Step 5: Solve for x
    x = 469,780,197.12/24,867
  6. Step 6: Final answer
    x = 18,891.71

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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.