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Finding the Fourth Proportional to 2,154.41, 3,231.73 and 673.83

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Solution

The fourth proportional to 2,154.41, 3,231.73 and 673.83 is: 1,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.41 : 3,231.73 = 673.83 : x
  2. Step 2: Convert to fraction form
    2,154.41/3,231.73 = 673.83/x
  3. Step 3: Cross multiply
    2,154.41x = 3,231.73 × 673.83
  4. Step 4: Simplify right side
    2,154.41x = 2,177,633.68
  5. Step 5: Solve for x
    x = 2,177,633.68/2,154.41
  6. Step 6: Final answer
    x = 1,010.78

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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.