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Finding the Fourth Proportional to 13,832.80, 20,743.06 and 3,969.80

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Solution

The fourth proportional to 13,832.80, 20,743.06 and 3,969.80 is: 5,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.80 : 20,743.06 = 3,969.80 : x
  2. Step 2: Convert to fraction form
    13,832.80/20,743.06 = 3,969.80/x
  3. Step 3: Cross multiply
    13,832.80x = 20,743.06 × 3,969.80
  4. Step 4: Simplify right side
    13,832.80x = 82,345,799.59
  5. Step 5: Solve for x
    x = 82,345,799.59/13,832.80
  6. Step 6: Final answer
    x = 5,952.94

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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.