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Finding the Fourth Proportional to 13,471.25, 20,201.94 and 5,147.15

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Solution

The fourth proportional to 13,471.25, 20,201.94 and 5,147.15 is: 7,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.25 : 20,201.94 = 5,147.15 : x
  2. Step 2: Convert to fraction form
    13,471.25/20,201.94 = 5,147.15/x
  3. Step 3: Cross multiply
    13,471.25x = 20,201.94 × 5,147.15
  4. Step 4: Simplify right side
    13,471.25x = 103,982,314.46
  5. Step 5: Solve for x
    x = 103,982,314.46/13,471.25
  6. Step 6: Final answer
    x = 7,718.83

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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.