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Finding the Fourth Proportional to 2,183.31, 3,274.98 and 722.28

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Solution

The fourth proportional to 2,183.31, 3,274.98 and 722.28 is: 1,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.31 : 3,274.98 = 722.28 : x
  2. Step 2: Convert to fraction form
    2,183.31/3,274.98 = 722.28/x
  3. Step 3: Cross multiply
    2,183.31x = 3,274.98 × 722.28
  4. Step 4: Simplify right side
    2,183.31x = 2,365,452.55
  5. Step 5: Solve for x
    x = 2,365,452.55/2,183.31
  6. Step 6: Final answer
    x = 1,083.42

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Similar ratio
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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.