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Finding the Fourth Proportional to 3,983.94, 5,975.32 and 1,351.41

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Solution

The fourth proportional to 3,983.94, 5,975.32 and 1,351.41 is: 2,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.94 : 5,975.32 = 1,351.41 : x
  2. Step 2: Convert to fraction form
    3,983.94/5,975.32 = 1,351.41/x
  3. Step 3: Cross multiply
    3,983.94x = 5,975.32 × 1,351.41
  4. Step 4: Simplify right side
    3,983.94x = 8,075,107.20
  5. Step 5: Solve for x
    x = 8,075,107.20/3,983.94
  6. Step 6: Final answer
    x = 2,026.91

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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.