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Finding the Fourth Proportional to 3,840.33, 5,760.29 and 1,891.88

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Solution

The fourth proportional to 3,840.33, 5,760.29 and 1,891.88 is: 2,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.33 : 5,760.29 = 1,891.88 : x
  2. Step 2: Convert to fraction form
    3,840.33/5,760.29 = 1,891.88/x
  3. Step 3: Cross multiply
    3,840.33x = 5,760.29 × 1,891.88
  4. Step 4: Simplify right side
    3,840.33x = 10,897,753.37
  5. Step 5: Solve for x
    x = 10,897,753.37/3,840.33
  6. Step 6: Final answer
    x = 2,837.71

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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.