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Finding the Fourth Proportional to 13,843.99, 20,765.24 and 3,982.88

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Solution

The fourth proportional to 13,843.99, 20,765.24 and 3,982.88 is: 5,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.99 : 20,765.24 = 3,982.88 : x
  2. Step 2: Convert to fraction form
    13,843.99/20,765.24 = 3,982.88/x
  3. Step 3: Cross multiply
    13,843.99x = 20,765.24 × 3,982.88
  4. Step 4: Simplify right side
    13,843.99x = 82,705,355.27
  5. Step 5: Solve for x
    x = 82,705,355.27/13,843.99
  6. Step 6: Final answer
    x = 5,974.10

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1.5x scale

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.