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Finding the Fourth Proportional to 8,481.59, 12,742.26 and 8,002.30

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Solution

The fourth proportional to 8,481.59, 12,742.26 and 8,002.30 is: 12,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.59 : 12,742.26 = 8,002.30 : x
  2. Step 2: Convert to fraction form
    8,481.59/12,742.26 = 8,002.30/x
  3. Step 3: Cross multiply
    8,481.59x = 12,742.26 × 8,002.30
  4. Step 4: Simplify right side
    8,481.59x = 101,967,325.33
  5. Step 5: Solve for x
    x = 101,967,325.33/8,481.59
  6. Step 6: Final answer
    x = 12,022.20

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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.