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Finding the Fourth Proportional to 1,936.33, 2,902.50 and 765.85

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Solution

The fourth proportional to 1,936.33, 2,902.50 and 765.85 is: 1,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.33 : 2,902.50 = 765.85 : x
  2. Step 2: Convert to fraction form
    1,936.33/2,902.50 = 765.85/x
  3. Step 3: Cross multiply
    1,936.33x = 2,902.50 × 765.85
  4. Step 4: Simplify right side
    1,936.33x = 2,222,879.63
  5. Step 5: Solve for x
    x = 2,222,879.63/1,936.33
  6. Step 6: Final answer
    x = 1,147.99

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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.