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Finding the Fourth Proportional to 8,176.43, 12,272.30 and 4,019.42

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Solution

The fourth proportional to 8,176.43, 12,272.30 and 4,019.42 is: 6,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.43 : 12,272.30 = 4,019.42 : x
  2. Step 2: Convert to fraction form
    8,176.43/12,272.30 = 4,019.42/x
  3. Step 3: Cross multiply
    8,176.43x = 12,272.30 × 4,019.42
  4. Step 4: Simplify right side
    8,176.43x = 49,327,568.80
  5. Step 5: Solve for x
    x = 49,327,568.80/8,176.43
  6. Step 6: Final answer
    x = 6,032.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.