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Finding the Fourth Proportional to 2,834.64, 4,247.64 and 2,100.78

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Solution

The fourth proportional to 2,834.64, 4,247.64 and 2,100.78 is: 3,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.64 : 4,247.64 = 2,100.78 : x
  2. Step 2: Convert to fraction form
    2,834.64/4,247.64 = 2,100.78/x
  3. Step 3: Cross multiply
    2,834.64x = 4,247.64 × 2,100.78
  4. Step 4: Simplify right side
    2,834.64x = 8,923,357.16
  5. Step 5: Solve for x
    x = 8,923,357.16/2,834.64
  6. Step 6: Final answer
    x = 3,147.97

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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.