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Finding the Fourth Proportional to 8,078.75, 12,115.72 and 3,147.20

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Solution

The fourth proportional to 8,078.75, 12,115.72 and 3,147.20 is: 4,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.75 : 12,115.72 = 3,147.20 : x
  2. Step 2: Convert to fraction form
    8,078.75/12,115.72 = 3,147.20/x
  3. Step 3: Cross multiply
    8,078.75x = 12,115.72 × 3,147.20
  4. Step 4: Simplify right side
    8,078.75x = 38,130,593.98
  5. Step 5: Solve for x
    x = 38,130,593.98/8,078.75
  6. Step 6: Final answer
    x = 4,719.86

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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.