Home / 2,208.82-3,313.24-822.51

Finding the Fourth Proportional to 2,208.82, 3,313.24 and 822.51

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Solution

The fourth proportional to 2,208.82, 3,313.24 and 822.51 is: 1,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.82 : 3,313.24 = 822.51 : x
  2. Step 2: Convert to fraction form
    2,208.82/3,313.24 = 822.51/x
  3. Step 3: Cross multiply
    2,208.82x = 3,313.24 × 822.51
  4. Step 4: Simplify right side
    2,208.82x = 2,725,173.03
  5. Step 5: Solve for x
    x = 2,725,173.03/2,208.82
  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.