Home / 2,215.15-3,322.62-827.96

Finding the Fourth Proportional to 2,215.15, 3,322.62 and 827.96

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Solution

The fourth proportional to 2,215.15, 3,322.62 and 827.96 is: 1,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.15 : 3,322.62 = 827.96 : x
  2. Step 2: Convert to fraction form
    2,215.15/3,322.62 = 827.96/x
  3. Step 3: Cross multiply
    2,215.15x = 3,322.62 × 827.96
  4. Step 4: Simplify right side
    2,215.15x = 2,750,979.84
  5. Step 5: Solve for x
    x = 2,750,979.84/2,215.15
  6. Step 6: Final answer
    x = 1,241.89

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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.