Home / 2,422.91-3,633.82-961.67

Finding the Fourth Proportional to 2,422.91, 3,633.82 and 961.67

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Solution

The fourth proportional to 2,422.91, 3,633.82 and 961.67 is: 1,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.91 : 3,633.82 = 961.67 : x
  2. Step 2: Convert to fraction form
    2,422.91/3,633.82 = 961.67/x
  3. Step 3: Cross multiply
    2,422.91x = 3,633.82 × 961.67
  4. Step 4: Simplify right side
    2,422.91x = 3,494,512.70
  5. Step 5: Solve for x
    x = 3,494,512.70/2,422.91
  6. Step 6: Final answer
    x = 1,442.28

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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.