Home / 2,288.25-3,432.75-827.31

Finding the Fourth Proportional to 2,288.25, 3,432.75 and 827.31

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Solution

The fourth proportional to 2,288.25, 3,432.75 and 827.31 is: 1,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.25 : 3,432.75 = 827.31 : x
  2. Step 2: Convert to fraction form
    2,288.25/3,432.75 = 827.31/x
  3. Step 3: Cross multiply
    2,288.25x = 3,432.75 × 827.31
  4. Step 4: Simplify right side
    2,288.25x = 2,839,958.17
  5. Step 5: Solve for x
    x = 2,839,958.17/2,288.25
  6. Step 6: Final answer
    x = 1,241.10

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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.