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Finding the Fourth Proportional to 2,167.50, 3,251.34 and 628.50

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Solution

The fourth proportional to 2,167.50, 3,251.34 and 628.50 is: 942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.50 : 3,251.34 = 628.50 : x
  2. Step 2: Convert to fraction form
    2,167.50/3,251.34 = 628.50/x
  3. Step 3: Cross multiply
    2,167.50x = 3,251.34 × 628.50
  4. Step 4: Simplify right side
    2,167.50x = 2,043,467.19
  5. Step 5: Solve for x
    x = 2,043,467.19/2,167.50
  6. Step 6: Final answer
    x = 942.78

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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.