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Finding the Fourth Proportional to 22,038, 33,057 and 20,930.64

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Solution

The fourth proportional to 22,038, 33,057 and 20,930.64 is: 31,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038 : 33,057 = 20,930.64 : x
  2. Step 2: Convert to fraction form
    22,038/33,057 = 20,930.64/x
  3. Step 3: Cross multiply
    22,038x = 33,057 × 20,930.64
  4. Step 4: Simplify right side
    22,038x = 691,904,166.48
  5. Step 5: Solve for x
    x = 691,904,166.48/22,038
  6. Step 6: Final answer
    x = 31,395.96

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Why These Related Problems?

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