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Finding the Fourth Proportional to 2,017.38, 3,027.37 and 863.14

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Solution

The fourth proportional to 2,017.38, 3,027.37 and 863.14 is: 1,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.38 : 3,027.37 = 863.14 : x
  2. Step 2: Convert to fraction form
    2,017.38/3,027.37 = 863.14/x
  3. Step 3: Cross multiply
    2,017.38x = 3,027.37 × 863.14
  4. Step 4: Simplify right side
    2,017.38x = 2,613,044.14
  5. Step 5: Solve for x
    x = 2,613,044.14/2,017.38
  6. Step 6: Final answer
    x = 1,295.27

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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.