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Finding the Fourth Proportional to 8,191.60, 12,278.20 and 3,259.90

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Solution

The fourth proportional to 8,191.60, 12,278.20 and 3,259.90 is: 4,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.60 : 12,278.20 = 3,259.90 : x
  2. Step 2: Convert to fraction form
    8,191.60/12,278.20 = 3,259.90/x
  3. Step 3: Cross multiply
    8,191.60x = 12,278.20 × 3,259.90
  4. Step 4: Simplify right side
    8,191.60x = 40,025,704.18
  5. Step 5: Solve for x
    x = 40,025,704.18/8,191.60
  6. Step 6: Final answer
    x = 4,886.19

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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.