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Finding the Fourth Proportional to 3,959.42, 5,939.74 and 1,361.75

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Solution

The fourth proportional to 3,959.42, 5,939.74 and 1,361.75 is: 2,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.42 : 5,939.74 = 1,361.75 : x
  2. Step 2: Convert to fraction form
    3,959.42/5,939.74 = 1,361.75/x
  3. Step 3: Cross multiply
    3,959.42x = 5,939.74 × 1,361.75
  4. Step 4: Simplify right side
    3,959.42x = 8,088,440.95
  5. Step 5: Solve for x
    x = 8,088,440.95/3,959.42
  6. Step 6: Final answer
    x = 2,042.83

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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.