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Finding the Fourth Proportional to 3,082.44, 4,253.47 and 1,755.87

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Solution

The fourth proportional to 3,082.44, 4,253.47 and 1,755.87 is: 2,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.44 : 4,253.47 = 1,755.87 : x
  2. Step 2: Convert to fraction form
    3,082.44/4,253.47 = 1,755.87/x
  3. Step 3: Cross multiply
    3,082.44x = 4,253.47 × 1,755.87
  4. Step 4: Simplify right side
    3,082.44x = 7,468,540.37
  5. Step 5: Solve for x
    x = 7,468,540.37/3,082.44
  6. Step 6: Final answer
    x = 2,422.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.