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Finding the Fourth Proportional to 2,168.79, 3,251.95 and 687.73

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Solution

The fourth proportional to 2,168.79, 3,251.95 and 687.73 is: 1,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.79 : 3,251.95 = 687.73 : x
  2. Step 2: Convert to fraction form
    2,168.79/3,251.95 = 687.73/x
  3. Step 3: Cross multiply
    2,168.79x = 3,251.95 × 687.73
  4. Step 4: Simplify right side
    2,168.79x = 2,236,455.25
  5. Step 5: Solve for x
    x = 2,236,455.25/2,168.79
  6. Step 6: Final answer
    x = 1,031.20

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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.