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Finding the Fourth Proportional to 22,553.44, 31,123.74 and 13,122

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Solution

The fourth proportional to 22,553.44, 31,123.74 and 13,122 is: 18,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,553.44 : 31,123.74 = 13,122 : x
  2. Step 2: Convert to fraction form
    22,553.44/31,123.74 = 13,122/x
  3. Step 3: Cross multiply
    22,553.44x = 31,123.74 × 13,122
  4. Step 4: Simplify right side
    22,553.44x = 408,405,765.49
  5. Step 5: Solve for x
    x = 408,405,765.49/22,553.44
  6. Step 6: Final answer
    x = 18,108.36

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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.