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Finding the Fourth Proportional to 22,163.97, 30,590.24 and 13,212.05

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Solution

The fourth proportional to 22,163.97, 30,590.24 and 13,212.05 is: 18,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.97 : 30,590.24 = 13,212.05 : x
  2. Step 2: Convert to fraction form
    22,163.97/30,590.24 = 13,212.05/x
  3. Step 3: Cross multiply
    22,163.97x = 30,590.24 × 13,212.05
  4. Step 4: Simplify right side
    22,163.97x = 404,159,561.38
  5. Step 5: Solve for x
    x = 404,159,561.38/22,163.97
  6. Step 6: Final answer
    x = 18,234.98

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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.