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Finding the Fourth Proportional to 22,122.96, 33,167.78 and 13,355.80

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Solution

The fourth proportional to 22,122.96, 33,167.78 and 13,355.80 is: 20,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122.96 : 33,167.78 = 13,355.80 : x
  2. Step 2: Convert to fraction form
    22,122.96/33,167.78 = 13,355.80/x
  3. Step 3: Cross multiply
    22,122.96x = 33,167.78 × 13,355.80
  4. Step 4: Simplify right side
    22,122.96x = 442,982,236.12
  5. Step 5: Solve for x
    x = 442,982,236.12/22,122.96
  6. Step 6: Final answer
    x = 20,023.64

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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.