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Finding the Fourth Proportional to 8,115.67, 12,176.42 and 3,188.67

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Solution

The fourth proportional to 8,115.67, 12,176.42 and 3,188.67 is: 4,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.67 : 12,176.42 = 3,188.67 : x
  2. Step 2: Convert to fraction form
    8,115.67/12,176.42 = 3,188.67/x
  3. Step 3: Cross multiply
    8,115.67x = 12,176.42 × 3,188.67
  4. Step 4: Simplify right side
    8,115.67x = 38,826,585.16
  5. Step 5: Solve for x
    x = 38,826,585.16/8,115.67
  6. Step 6: Final answer
    x = 4,784.15

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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.