Home / 2,208.96-3,311.16-821.04

Finding the Fourth Proportional to 2,208.96, 3,311.16 and 821.04

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Solution

The fourth proportional to 2,208.96, 3,311.16 and 821.04 is: 1,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.96 : 3,311.16 = 821.04 : x
  2. Step 2: Convert to fraction form
    2,208.96/3,311.16 = 821.04/x
  3. Step 3: Cross multiply
    2,208.96x = 3,311.16 × 821.04
  4. Step 4: Simplify right side
    2,208.96x = 2,718,594.81
  5. Step 5: Solve for x
    x = 2,718,594.81/2,208.96
  6. Step 6: Final answer
    x = 1,230.71

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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.