Home / 2,116.20-3,174.30-961.95

Finding the Fourth Proportional to 2,116.20, 3,174.30 and 961.95

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Solution

The fourth proportional to 2,116.20, 3,174.30 and 961.95 is: 1,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.20 : 3,174.30 = 961.95 : x
  2. Step 2: Convert to fraction form
    2,116.20/3,174.30 = 961.95/x
  3. Step 3: Cross multiply
    2,116.20x = 3,174.30 × 961.95
  4. Step 4: Simplify right side
    2,116.20x = 3,053,517.89
  5. Step 5: Solve for x
    x = 3,053,517.89/2,116.20
  6. Step 6: Final answer
    x = 1,442.93

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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.