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Finding the Fourth Proportional to 3,889.77, 5,836.37 and 2,040.43

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Solution

The fourth proportional to 3,889.77, 5,836.37 and 2,040.43 is: 3,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.77 : 5,836.37 = 2,040.43 : x
  2. Step 2: Convert to fraction form
    3,889.77/5,836.37 = 2,040.43/x
  3. Step 3: Cross multiply
    3,889.77x = 5,836.37 × 2,040.43
  4. Step 4: Simplify right side
    3,889.77x = 11,908,704.44
  5. Step 5: Solve for x
    x = 11,908,704.44/3,889.77
  6. Step 6: Final answer
    x = 3,061.54

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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.