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Finding the Fourth Proportional to 2,189.26, 3,283.89 and 728.41

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Solution

The fourth proportional to 2,189.26, 3,283.89 and 728.41 is: 1,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.26 : 3,283.89 = 728.41 : x
  2. Step 2: Convert to fraction form
    2,189.26/3,283.89 = 728.41/x
  3. Step 3: Cross multiply
    2,189.26x = 3,283.89 × 728.41
  4. Step 4: Simplify right side
    2,189.26x = 2,391,998.25
  5. Step 5: Solve for x
    x = 2,391,998.25/2,189.26
  6. Step 6: Final answer
    x = 1,092.61

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1.5x scale

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.