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Finding the Fourth Proportional to 12,227.96, 18,331.40 and 5,201.54

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Solution

The fourth proportional to 12,227.96, 18,331.40 and 5,201.54 is: 7,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.96 : 18,331.40 = 5,201.54 : x
  2. Step 2: Convert to fraction form
    12,227.96/18,331.40 = 5,201.54/x
  3. Step 3: Cross multiply
    12,227.96x = 18,331.40 × 5,201.54
  4. Step 4: Simplify right side
    12,227.96x = 95,351,510.36
  5. Step 5: Solve for x
    x = 95,351,510.36/12,227.96
  6. Step 6: Final answer
    x = 7,797.83

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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.