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Finding the Fourth Proportional to 3,872.76, 5,809.62 and 2,834.04

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Solution

The fourth proportional to 3,872.76, 5,809.62 and 2,834.04 is: 4,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.76 : 5,809.62 = 2,834.04 : x
  2. Step 2: Convert to fraction form
    3,872.76/5,809.62 = 2,834.04/x
  3. Step 3: Cross multiply
    3,872.76x = 5,809.62 × 2,834.04
  4. Step 4: Simplify right side
    3,872.76x = 16,464,695.46
  5. Step 5: Solve for x
    x = 16,464,695.46/3,872.76
  6. Step 6: Final answer
    x = 4,251.41

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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.