Home / 2,118.06-3,178.94-820.44

Finding the Fourth Proportional to 2,118.06, 3,178.94 and 820.44

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Solution

The fourth proportional to 2,118.06, 3,178.94 and 820.44 is: 1,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.06 : 3,178.94 = 820.44 : x
  2. Step 2: Convert to fraction form
    2,118.06/3,178.94 = 820.44/x
  3. Step 3: Cross multiply
    2,118.06x = 3,178.94 × 820.44
  4. Step 4: Simplify right side
    2,118.06x = 2,608,129.53
  5. Step 5: Solve for x
    x = 2,608,129.53/2,118.06
  6. Step 6: Final answer
    x = 1,231.38

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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.