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Finding the Fourth Proportional to 2,682.85, 4,025.78 and 2,096.21

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Solution

The fourth proportional to 2,682.85, 4,025.78 and 2,096.21 is: 3,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.85 : 4,025.78 = 2,096.21 : x
  2. Step 2: Convert to fraction form
    2,682.85/4,025.78 = 2,096.21/x
  3. Step 3: Cross multiply
    2,682.85x = 4,025.78 × 2,096.21
  4. Step 4: Simplify right side
    2,682.85x = 8,438,880.29
  5. Step 5: Solve for x
    x = 8,438,880.29/2,682.85
  6. Step 6: Final answer
    x = 3,145.49

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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.