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Finding the Fourth Proportional to 22,905.86, 34,358.79 and 8,111.24

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Solution

The fourth proportional to 22,905.86, 34,358.79 and 8,111.24 is: 12,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905.86 : 34,358.79 = 8,111.24 : x
  2. Step 2: Convert to fraction form
    22,905.86/34,358.79 = 8,111.24/x
  3. Step 3: Cross multiply
    22,905.86x = 34,358.79 × 8,111.24
  4. Step 4: Simplify right side
    22,905.86x = 278,692,391.80
  5. Step 5: Solve for x
    x = 278,692,391.80/22,905.86
  6. Step 6: Final answer
    x = 12,166.86

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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.