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Finding the Fourth Proportional to 22,481.42, 33,722.10 and 6,686.38

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Solution

The fourth proportional to 22,481.42, 33,722.10 and 6,686.38 is: 10,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.42 : 33,722.10 = 6,686.38 : x
  2. Step 2: Convert to fraction form
    22,481.42/33,722.10 = 6,686.38/x
  3. Step 3: Cross multiply
    22,481.42x = 33,722.10 × 6,686.38
  4. Step 4: Simplify right side
    22,481.42x = 225,478,817.15
  5. Step 5: Solve for x
    x = 225,478,817.15/22,481.42
  6. Step 6: Final answer
    x = 10,029.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.