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Finding the Fourth Proportional to 3,840.73, 5,757.44 and 1,759.84

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Solution

The fourth proportional to 3,840.73, 5,757.44 and 1,759.84 is: 2,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.73 : 5,757.44 = 1,759.84 : x
  2. Step 2: Convert to fraction form
    3,840.73/5,757.44 = 1,759.84/x
  3. Step 3: Cross multiply
    3,840.73x = 5,757.44 × 1,759.84
  4. Step 4: Simplify right side
    3,840.73x = 10,132,173.21
  5. Step 5: Solve for x
    x = 10,132,173.21/3,840.73
  6. Step 6: Final answer
    x = 2,638.09

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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.