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Finding the Fourth Proportional to 22,772, 31,425.36 and 12,836

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Solution

The fourth proportional to 22,772, 31,425.36 and 12,836 is: 17,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772 : 31,425.36 = 12,836 : x
  2. Step 2: Convert to fraction form
    22,772/31,425.36 = 12,836/x
  3. Step 3: Cross multiply
    22,772x = 31,425.36 × 12,836
  4. Step 4: Simplify right side
    22,772x = 403,375,920.96
  5. Step 5: Solve for x
    x = 403,375,920.96/22,772
  6. Step 6: Final answer
    x = 17,713.68

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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.