Home / 3,982.64-5,974.29-1,642.75

Finding the Fourth Proportional to 3,982.64, 5,974.29 and 1,642.75

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Solution

The fourth proportional to 3,982.64, 5,974.29 and 1,642.75 is: 2,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.64 : 5,974.29 = 1,642.75 : x
  2. Step 2: Convert to fraction form
    3,982.64/5,974.29 = 1,642.75/x
  3. Step 3: Cross multiply
    3,982.64x = 5,974.29 × 1,642.75
  4. Step 4: Simplify right side
    3,982.64x = 9,814,249.96
  5. Step 5: Solve for x
    x = 9,814,249.96/3,982.64
  6. Step 6: Final answer
    x = 2,464.26

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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.