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Finding the Fourth Proportional to 22,422, 30,942.36 and 12,486

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Solution

The fourth proportional to 22,422, 30,942.36 and 12,486 is: 17,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422 : 30,942.36 = 12,486 : x
  2. Step 2: Convert to fraction form
    22,422/30,942.36 = 12,486/x
  3. Step 3: Cross multiply
    22,422x = 30,942.36 × 12,486
  4. Step 4: Simplify right side
    22,422x = 386,346,306.96
  5. Step 5: Solve for x
    x = 386,346,306.96/22,422
  6. Step 6: Final answer
    x = 17,230.68

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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.