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Finding the Fourth Proportional to 22,065, 33,099.12 and 8,214

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Solution

The fourth proportional to 22,065, 33,099.12 and 8,214 is: 12,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,065 : 33,099.12 = 8,214 : x
  2. Step 2: Convert to fraction form
    22,065/33,099.12 = 8,214/x
  3. Step 3: Cross multiply
    22,065x = 33,099.12 × 8,214
  4. Step 4: Simplify right side
    22,065x = 271,876,171.68
  5. Step 5: Solve for x
    x = 271,876,171.68/22,065
  6. Step 6: Final answer
    x = 12,321.60

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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.