Home / 2,206.55-3,311.43-820.09

Finding the Fourth Proportional to 2,206.55, 3,311.43 and 820.09

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Solution

The fourth proportional to 2,206.55, 3,311.43 and 820.09 is: 1,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.55 : 3,311.43 = 820.09 : x
  2. Step 2: Convert to fraction form
    2,206.55/3,311.43 = 820.09/x
  3. Step 3: Cross multiply
    2,206.55x = 3,311.43 × 820.09
  4. Step 4: Simplify right side
    2,206.55x = 2,715,670.63
  5. Step 5: Solve for x
    x = 2,715,670.63/2,206.55
  6. Step 6: Final answer
    x = 1,230.73

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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.