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Finding the Fourth Proportional to 8,191.44, 12,291.92 and 3,447.25

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Solution

The fourth proportional to 8,191.44, 12,291.92 and 3,447.25 is: 5,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.44 : 12,291.92 = 3,447.25 : x
  2. Step 2: Convert to fraction form
    8,191.44/12,291.92 = 3,447.25/x
  3. Step 3: Cross multiply
    8,191.44x = 12,291.92 × 3,447.25
  4. Step 4: Simplify right side
    8,191.44x = 42,373,321.22
  5. Step 5: Solve for x
    x = 42,373,321.22/8,191.44
  6. Step 6: Final answer
    x = 5,172.88

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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.