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Finding the Fourth Proportional to 3,975, 5,950.74 and 2,739.78

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Solution

The fourth proportional to 3,975, 5,950.74 and 2,739.78 is: 4,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975 : 5,950.74 = 2,739.78 : x
  2. Step 2: Convert to fraction form
    3,975/5,950.74 = 2,739.78/x
  3. Step 3: Cross multiply
    3,975x = 5,950.74 × 2,739.78
  4. Step 4: Simplify right side
    3,975x = 16,303,718.44
  5. Step 5: Solve for x
    x = 16,303,718.44/3,975
  6. Step 6: Final answer
    x = 4,101.56

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1.5x scale

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.