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Finding the Fourth Proportional to 22,163.82, 33,223.38 and 11,645.70

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Solution

The fourth proportional to 22,163.82, 33,223.38 and 11,645.70 is: 17,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.82 : 33,223.38 = 11,645.70 : x
  2. Step 2: Convert to fraction form
    22,163.82/33,223.38 = 11,645.70/x
  3. Step 3: Cross multiply
    22,163.82x = 33,223.38 × 11,645.70
  4. Step 4: Simplify right side
    22,163.82x = 386,909,516.47
  5. Step 5: Solve for x
    x = 386,909,516.47/22,163.82
  6. Step 6: Final answer
    x = 17,456.81

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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.