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Finding the Fourth Proportional to 2,168.57, 3,251.63 and 687.52

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Solution

The fourth proportional to 2,168.57, 3,251.63 and 687.52 is: 1,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.57 : 3,251.63 = 687.52 : x
  2. Step 2: Convert to fraction form
    2,168.57/3,251.63 = 687.52/x
  3. Step 3: Cross multiply
    2,168.57x = 3,251.63 × 687.52
  4. Step 4: Simplify right side
    2,168.57x = 2,235,562.57
  5. Step 5: Solve for x
    x = 2,235,562.57/2,168.57
  6. Step 6: Final answer
    x = 1,030.89

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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.