Home / 2,209.05-3,314.09-822.39

Finding the Fourth Proportional to 2,209.05, 3,314.09 and 822.39

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Solution

The fourth proportional to 2,209.05, 3,314.09 and 822.39 is: 1,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.05 : 3,314.09 = 822.39 : x
  2. Step 2: Convert to fraction form
    2,209.05/3,314.09 = 822.39/x
  3. Step 3: Cross multiply
    2,209.05x = 3,314.09 × 822.39
  4. Step 4: Simplify right side
    2,209.05x = 2,725,470.36
  5. Step 5: Solve for x
    x = 2,725,470.36/2,209.05
  6. Step 6: Final answer
    x = 1,233.77

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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.