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Finding the Fourth Proportional to 8,144.01, 12,205.08 and 7,181.73

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Solution

The fourth proportional to 8,144.01, 12,205.08 and 7,181.73 is: 10,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.01 : 12,205.08 = 7,181.73 : x
  2. Step 2: Convert to fraction form
    8,144.01/12,205.08 = 7,181.73/x
  3. Step 3: Cross multiply
    8,144.01x = 12,205.08 × 7,181.73
  4. Step 4: Simplify right side
    8,144.01x = 87,653,589.19
  5. Step 5: Solve for x
    x = 87,653,589.19/8,144.01
  6. Step 6: Final answer
    x = 10,762.95

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Half scale
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Double scale
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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.