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Finding the Fourth Proportional to 3,919.58, 5,879.39 and 1,322.54

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Solution

The fourth proportional to 3,919.58, 5,879.39 and 1,322.54 is: 1,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.58 : 5,879.39 = 1,322.54 : x
  2. Step 2: Convert to fraction form
    3,919.58/5,879.39 = 1,322.54/x
  3. Step 3: Cross multiply
    3,919.58x = 5,879.39 × 1,322.54
  4. Step 4: Simplify right side
    3,919.58x = 7,775,728.45
  5. Step 5: Solve for x
    x = 7,775,728.45/3,919.58
  6. Step 6: Final answer
    x = 1,983.82

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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.