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Finding the Fourth Proportional to 8,627.86, 12,960.22 and 6,178.42

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Solution

The fourth proportional to 8,627.86, 12,960.22 and 6,178.42 is: 9,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.86 : 12,960.22 = 6,178.42 : x
  2. Step 2: Convert to fraction form
    8,627.86/12,960.22 = 6,178.42/x
  3. Step 3: Cross multiply
    8,627.86x = 12,960.22 × 6,178.42
  4. Step 4: Simplify right side
    8,627.86x = 80,073,682.45
  5. Step 5: Solve for x
    x = 80,073,682.45/8,627.86
  6. Step 6: Final answer
    x = 9,280.83

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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.