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Finding the Fourth Proportional to 13,843.73, 20,765.49 and 3,455.48

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Solution

The fourth proportional to 13,843.73, 20,765.49 and 3,455.48 is: 5,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.73 : 20,765.49 = 3,455.48 : x
  2. Step 2: Convert to fraction form
    13,843.73/20,765.49 = 3,455.48/x
  3. Step 3: Cross multiply
    13,843.73x = 20,765.49 × 3,455.48
  4. Step 4: Simplify right side
    13,843.73x = 71,754,735.39
  5. Step 5: Solve for x
    x = 71,754,735.39/13,843.73
  6. Step 6: Final answer
    x = 5,183.19

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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.