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Finding the Fourth Proportional to 8,380.75, 12,572.75 and 3,186.22

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Solution

The fourth proportional to 8,380.75, 12,572.75 and 3,186.22 is: 4,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.75 : 12,572.75 = 3,186.22 : x
  2. Step 2: Convert to fraction form
    8,380.75/12,572.75 = 3,186.22/x
  3. Step 3: Cross multiply
    8,380.75x = 12,572.75 × 3,186.22
  4. Step 4: Simplify right side
    8,380.75x = 40,059,515.86
  5. Step 5: Solve for x
    x = 40,059,515.86/8,380.75
  6. Step 6: Final answer
    x = 4,779.94

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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.