Home / 2,207.24-3,311.40-820.95

Finding the Fourth Proportional to 2,207.24, 3,311.40 and 820.95

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Solution

The fourth proportional to 2,207.24, 3,311.40 and 820.95 is: 1,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.24 : 3,311.40 = 820.95 : x
  2. Step 2: Convert to fraction form
    2,207.24/3,311.40 = 820.95/x
  3. Step 3: Cross multiply
    2,207.24x = 3,311.40 × 820.95
  4. Step 4: Simplify right side
    2,207.24x = 2,718,493.83
  5. Step 5: Solve for x
    x = 2,718,493.83/2,207.24
  6. Step 6: Final answer
    x = 1,231.63

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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.