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Finding the Fourth Proportional to 8,114.86, 12,163.74 and 3,728.68

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Solution

The fourth proportional to 8,114.86, 12,163.74 and 3,728.68 is: 5,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.86 : 12,163.74 = 3,728.68 : x
  2. Step 2: Convert to fraction form
    8,114.86/12,163.74 = 3,728.68/x
  3. Step 3: Cross multiply
    8,114.86x = 12,163.74 × 3,728.68
  4. Step 4: Simplify right side
    8,114.86x = 45,354,694.06
  5. Step 5: Solve for x
    x = 45,354,694.06/8,114.86
  6. Step 6: Final answer
    x = 5,589.09

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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.