Home / 2,207.06-3,311.17-820.80

Finding the Fourth Proportional to 2,207.06, 3,311.17 and 820.80

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Solution

The fourth proportional to 2,207.06, 3,311.17 and 820.80 is: 1,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.06 : 3,311.17 = 820.80 : x
  2. Step 2: Convert to fraction form
    2,207.06/3,311.17 = 820.80/x
  3. Step 3: Cross multiply
    2,207.06x = 3,311.17 × 820.80
  4. Step 4: Simplify right side
    2,207.06x = 2,717,804.23
  5. Step 5: Solve for x
    x = 2,717,804.23/2,207.06
  6. Step 6: Final answer
    x = 1,231.41

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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.