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Finding the Fourth Proportional to 2,388.20, 3,581.03 and 827.81

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Solution

The fourth proportional to 2,388.20, 3,581.03 and 827.81 is: 1,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.20 : 3,581.03 = 827.81 : x
  2. Step 2: Convert to fraction form
    2,388.20/3,581.03 = 827.81/x
  3. Step 3: Cross multiply
    2,388.20x = 3,581.03 × 827.81
  4. Step 4: Simplify right side
    2,388.20x = 2,964,390.40
  5. Step 5: Solve for x
    x = 2,964,390.40/2,388.20
  6. Step 6: Final answer
    x = 1,241.27

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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.