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Finding the Fourth Proportional to 3,793.51, 5,682.57 and 1,939.15

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Solution

The fourth proportional to 3,793.51, 5,682.57 and 1,939.15 is: 2,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.51 : 5,682.57 = 1,939.15 : x
  2. Step 2: Convert to fraction form
    3,793.51/5,682.57 = 1,939.15/x
  3. Step 3: Cross multiply
    3,793.51x = 5,682.57 × 1,939.15
  4. Step 4: Simplify right side
    3,793.51x = 11,019,355.62
  5. Step 5: Solve for x
    x = 11,019,355.62/3,793.51
  6. Step 6: Final answer
    x = 2,904.79

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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.