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Finding the Fourth Proportional to 3,919.85, 5,879.48 and 1,840.31

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Solution

The fourth proportional to 3,919.85, 5,879.48 and 1,840.31 is: 2,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.85 : 5,879.48 = 1,840.31 : x
  2. Step 2: Convert to fraction form
    3,919.85/5,879.48 = 1,840.31/x
  3. Step 3: Cross multiply
    3,919.85x = 5,879.48 × 1,840.31
  4. Step 4: Simplify right side
    3,919.85x = 10,820,065.84
  5. Step 5: Solve for x
    x = 10,820,065.84/3,919.85
  6. Step 6: Final answer
    x = 2,760.33

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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.