Home / 2,208.66-3,310.89-821.05

Finding the Fourth Proportional to 2,208.66, 3,310.89 and 821.05

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Solution

The fourth proportional to 2,208.66, 3,310.89 and 821.05 is: 1,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.66 : 3,310.89 = 821.05 : x
  2. Step 2: Convert to fraction form
    2,208.66/3,310.89 = 821.05/x
  3. Step 3: Cross multiply
    2,208.66x = 3,310.89 × 821.05
  4. Step 4: Simplify right side
    2,208.66x = 2,718,394.88
  5. Step 5: Solve for x
    x = 2,718,394.88/2,208.66
  6. Step 6: Final answer
    x = 1,230.79

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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.