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Finding the Fourth Proportional to 8,095.92, 12,142.20 and 2,172.84

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Solution

The fourth proportional to 8,095.92, 12,142.20 and 2,172.84 is: 3,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.92 : 12,142.20 = 2,172.84 : x
  2. Step 2: Convert to fraction form
    8,095.92/12,142.20 = 2,172.84/x
  3. Step 3: Cross multiply
    8,095.92x = 12,142.20 × 2,172.84
  4. Step 4: Simplify right side
    8,095.92x = 26,383,057.85
  5. Step 5: Solve for x
    x = 26,383,057.85/8,095.92
  6. Step 6: Final answer
    x = 3,258.81

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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.