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Finding the Fourth Proportional to 3,839, 5,759.86 and 1,892.58

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Solution

The fourth proportional to 3,839, 5,759.86 and 1,892.58 is: 2,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839 : 5,759.86 = 1,892.58 : x
  2. Step 2: Convert to fraction form
    3,839/5,759.86 = 1,892.58/x
  3. Step 3: Cross multiply
    3,839x = 5,759.86 × 1,892.58
  4. Step 4: Simplify right side
    3,839x = 10,900,995.84
  5. Step 5: Solve for x
    x = 10,900,995.84/3,839
  6. Step 6: Final answer
    x = 2,839.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.