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Finding the Fourth Proportional to 22,617.96, 31,212.20 and 12,546.38

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Solution

The fourth proportional to 22,617.96, 31,212.20 and 12,546.38 is: 17,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.96 : 31,212.20 = 12,546.38 : x
  2. Step 2: Convert to fraction form
    22,617.96/31,212.20 = 12,546.38/x
  3. Step 3: Cross multiply
    22,617.96x = 31,212.20 × 12,546.38
  4. Step 4: Simplify right side
    22,617.96x = 391,600,121.84
  5. Step 5: Solve for x
    x = 391,600,121.84/22,617.96
  6. Step 6: Final answer
    x = 17,313.68

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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.