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Finding the Fourth Proportional to 3,830.97, 5,742.37 and 2,183.97

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Solution

The fourth proportional to 3,830.97, 5,742.37 and 2,183.97 is: 3,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.97 : 5,742.37 = 2,183.97 : x
  2. Step 2: Convert to fraction form
    3,830.97/5,742.37 = 2,183.97/x
  3. Step 3: Cross multiply
    3,830.97x = 5,742.37 × 2,183.97
  4. Step 4: Simplify right side
    3,830.97x = 12,541,149.63
  5. Step 5: Solve for x
    x = 12,541,149.63/3,830.97
  6. Step 6: Final answer
    x = 3,273.62

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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.