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Finding the Fourth Proportional to 3,965.44, 5,947.30 and 1,367.80

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Solution

The fourth proportional to 3,965.44, 5,947.30 and 1,367.80 is: 2,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.44 : 5,947.30 = 1,367.80 : x
  2. Step 2: Convert to fraction form
    3,965.44/5,947.30 = 1,367.80/x
  3. Step 3: Cross multiply
    3,965.44x = 5,947.30 × 1,367.80
  4. Step 4: Simplify right side
    3,965.44x = 8,134,716.94
  5. Step 5: Solve for x
    x = 8,134,716.94/3,965.44
  6. Step 6: Final answer
    x = 2,051.40

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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.