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Finding the Fourth Proportional to 22,174.31, 30,593.16 and 13,220.57

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Solution

The fourth proportional to 22,174.31, 30,593.16 and 13,220.57 is: 18,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,174.31 : 30,593.16 = 13,220.57 : x
  2. Step 2: Convert to fraction form
    22,174.31/30,593.16 = 13,220.57/x
  3. Step 3: Cross multiply
    22,174.31x = 30,593.16 × 13,220.57
  4. Step 4: Simplify right side
    22,174.31x = 404,459,089.78
  5. Step 5: Solve for x
    x = 404,459,089.78/22,174.31
  6. Step 6: Final answer
    x = 18,239.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.