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Finding the Fourth Proportional to 20,578.46, 30,867 and 8,724.62

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Solution

The fourth proportional to 20,578.46, 30,867 and 8,724.62 is: 13,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.46 : 30,867 = 8,724.62 : x
  2. Step 2: Convert to fraction form
    20,578.46/30,867 = 8,724.62/x
  3. Step 3: Cross multiply
    20,578.46x = 30,867 × 8,724.62
  4. Step 4: Simplify right side
    20,578.46x = 269,302,691.21
  5. Step 5: Solve for x
    x = 269,302,691.21/20,578.46
  6. Step 6: Final answer
    x = 13,086.63

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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.