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Finding the Fourth Proportional to 2,096.15, 3,144.20 and 863.19

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Solution

The fourth proportional to 2,096.15, 3,144.20 and 863.19 is: 1,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.15 : 3,144.20 = 863.19 : x
  2. Step 2: Convert to fraction form
    2,096.15/3,144.20 = 863.19/x
  3. Step 3: Cross multiply
    2,096.15x = 3,144.20 × 863.19
  4. Step 4: Simplify right side
    2,096.15x = 2,714,037.68
  5. Step 5: Solve for x
    x = 2,714,037.68/2,096.15
  6. Step 6: Final answer
    x = 1,294.78

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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.