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Finding the Fourth Proportional to 8,125.42, 12,195.24 and 3,968.50

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Solution

The fourth proportional to 8,125.42, 12,195.24 and 3,968.50 is: 5,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.42 : 12,195.24 = 3,968.50 : x
  2. Step 2: Convert to fraction form
    8,125.42/12,195.24 = 3,968.50/x
  3. Step 3: Cross multiply
    8,125.42x = 12,195.24 × 3,968.50
  4. Step 4: Simplify right side
    8,125.42x = 48,396,809.94
  5. Step 5: Solve for x
    x = 48,396,809.94/8,125.42
  6. Step 6: Final answer
    x = 5,956.22

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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.