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Finding the Fourth Proportional to 22,423.20, 33,640.20 and 8,383.56

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Solution

The fourth proportional to 22,423.20, 33,640.20 and 8,383.56 is: 12,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.20 : 33,640.20 = 8,383.56 : x
  2. Step 2: Convert to fraction form
    22,423.20/33,640.20 = 8,383.56/x
  3. Step 3: Cross multiply
    22,423.20x = 33,640.20 × 8,383.56
  4. Step 4: Simplify right side
    22,423.20x = 282,024,635.11
  5. Step 5: Solve for x
    x = 282,024,635.11/22,423.20
  6. Step 6: Final answer
    x = 12,577.36

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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.