Home / 2,422.14-3,634.52-961.31

Finding the Fourth Proportional to 2,422.14, 3,634.52 and 961.31

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Solution

The fourth proportional to 2,422.14, 3,634.52 and 961.31 is: 1,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.14 : 3,634.52 = 961.31 : x
  2. Step 2: Convert to fraction form
    2,422.14/3,634.52 = 961.31/x
  3. Step 3: Cross multiply
    2,422.14x = 3,634.52 × 961.31
  4. Step 4: Simplify right side
    2,422.14x = 3,493,877.44
  5. Step 5: Solve for x
    x = 3,493,877.44/2,422.14
  6. Step 6: Final answer
    x = 1,442.48

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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.