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Finding the Fourth Proportional to 2,183.46, 3,275.18 and 722.72

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Solution

The fourth proportional to 2,183.46, 3,275.18 and 722.72 is: 1,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.46 : 3,275.18 = 722.72 : x
  2. Step 2: Convert to fraction form
    2,183.46/3,275.18 = 722.72/x
  3. Step 3: Cross multiply
    2,183.46x = 3,275.18 × 722.72
  4. Step 4: Simplify right side
    2,183.46x = 2,367,049.44
  5. Step 5: Solve for x
    x = 2,367,049.44/2,183.46
  6. Step 6: Final answer
    x = 1,084.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.