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Finding the Fourth Proportional to 13,479, 20,196.14 and 8,198.03

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Solution

The fourth proportional to 13,479, 20,196.14 and 8,198.03 is: 12,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,479 : 20,196.14 = 8,198.03 : x
  2. Step 2: Convert to fraction form
    13,479/20,196.14 = 8,198.03/x
  3. Step 3: Cross multiply
    13,479x = 20,196.14 × 8,198.03
  4. Step 4: Simplify right side
    13,479x = 165,568,561.60
  5. Step 5: Solve for x
    x = 165,568,561.60/13,479
  6. Step 6: Final answer
    x = 12,283.45

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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.