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Finding the Fourth Proportional to 2,212.73, 3,319.07 and 673.73

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Solution

The fourth proportional to 2,212.73, 3,319.07 and 673.73 is: 1,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.73 : 3,319.07 = 673.73 : x
  2. Step 2: Convert to fraction form
    2,212.73/3,319.07 = 673.73/x
  3. Step 3: Cross multiply
    2,212.73x = 3,319.07 × 673.73
  4. Step 4: Simplify right side
    2,212.73x = 2,236,157.03
  5. Step 5: Solve for x
    x = 2,236,157.03/2,212.73
  6. Step 6: Final answer
    x = 1,010.59

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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.