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Finding the Fourth Proportional to 8,618.67, 12,902.09 and 8,078.67

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Solution

The fourth proportional to 8,618.67, 12,902.09 and 8,078.67 is: 12,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.67 : 12,902.09 = 8,078.67 : x
  2. Step 2: Convert to fraction form
    8,618.67/12,902.09 = 8,078.67/x
  3. Step 3: Cross multiply
    8,618.67x = 12,902.09 × 8,078.67
  4. Step 4: Simplify right side
    8,618.67x = 104,231,687.03
  5. Step 5: Solve for x
    x = 104,231,687.03/8,618.67
  6. Step 6: Final answer
    x = 12,093.71

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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.