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Finding the Fourth Proportional to 13,866, 20,799 and 5,549.72

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Solution

The fourth proportional to 13,866, 20,799 and 5,549.72 is: 8,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866 : 20,799 = 5,549.72 : x
  2. Step 2: Convert to fraction form
    13,866/20,799 = 5,549.72/x
  3. Step 3: Cross multiply
    13,866x = 20,799 × 5,549.72
  4. Step 4: Simplify right side
    13,866x = 115,428,626.28
  5. Step 5: Solve for x
    x = 115,428,626.28/13,866
  6. Step 6: Final answer
    x = 8,324.58

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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.