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Finding the Fourth Proportional to 8,170.64, 12,251.16 and 3,237.20

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Solution

The fourth proportional to 8,170.64, 12,251.16 and 3,237.20 is: 4,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.64 : 12,251.16 = 3,237.20 : x
  2. Step 2: Convert to fraction form
    8,170.64/12,251.16 = 3,237.20/x
  3. Step 3: Cross multiply
    8,170.64x = 12,251.16 × 3,237.20
  4. Step 4: Simplify right side
    8,170.64x = 39,659,455.15
  5. Step 5: Solve for x
    x = 39,659,455.15/8,170.64
  6. Step 6: Final answer
    x = 4,853.90

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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.