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Finding the Fourth Proportional to 3,983.87, 5,976.81 and 1,518.43

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Solution

The fourth proportional to 3,983.87, 5,976.81 and 1,518.43 is: 2,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.87 : 5,976.81 = 1,518.43 : x
  2. Step 2: Convert to fraction form
    3,983.87/5,976.81 = 1,518.43/x
  3. Step 3: Cross multiply
    3,983.87x = 5,976.81 × 1,518.43
  4. Step 4: Simplify right side
    3,983.87x = 9,075,367.61
  5. Step 5: Solve for x
    x = 9,075,367.61/3,983.87
  6. Step 6: Final answer
    x = 2,278.03

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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.