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Finding the Fourth Proportional to 1,286.20, 1,930.20 and 825.10

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Solution

The fourth proportional to 1,286.20, 1,930.20 and 825.10 is: 1,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.20 : 1,930.20 = 825.10 : x
  2. Step 2: Convert to fraction form
    1,286.20/1,930.20 = 825.10/x
  3. Step 3: Cross multiply
    1,286.20x = 1,930.20 × 825.10
  4. Step 4: Simplify right side
    1,286.20x = 1,592,608.02
  5. Step 5: Solve for x
    x = 1,592,608.02/1,286.20
  6. Step 6: Final answer
    x = 1,238.23

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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.