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Finding the Fourth Proportional to 8,281.74, 12,394.89 and 8,171.01

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Solution

The fourth proportional to 8,281.74, 12,394.89 and 8,171.01 is: 12,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.74 : 12,394.89 = 8,171.01 : x
  2. Step 2: Convert to fraction form
    8,281.74/12,394.89 = 8,171.01/x
  3. Step 3: Cross multiply
    8,281.74x = 12,394.89 × 8,171.01
  4. Step 4: Simplify right side
    8,281.74x = 101,278,770.14
  5. Step 5: Solve for x
    x = 101,278,770.14/8,281.74
  6. Step 6: Final answer
    x = 12,229.16

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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.