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Finding the Fourth Proportional to 22,286.16, 33,430 and 8,249.70

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Solution

The fourth proportional to 22,286.16, 33,430 and 8,249.70 is: 12,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.16 : 33,430 = 8,249.70 : x
  2. Step 2: Convert to fraction form
    22,286.16/33,430 = 8,249.70/x
  3. Step 3: Cross multiply
    22,286.16x = 33,430 × 8,249.70
  4. Step 4: Simplify right side
    22,286.16x = 275,787,471
  5. Step 5: Solve for x
    x = 275,787,471/22,286.16
  6. Step 6: Final answer
    x = 12,374.83

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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.