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Finding the Fourth Proportional to 3,979.92, 5,965.38 and 2,028

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Solution

The fourth proportional to 3,979.92, 5,965.38 and 2,028 is: 3,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.92 : 5,965.38 = 2,028 : x
  2. Step 2: Convert to fraction form
    3,979.92/5,965.38 = 2,028/x
  3. Step 3: Cross multiply
    3,979.92x = 5,965.38 × 2,028
  4. Step 4: Simplify right side
    3,979.92x = 12,097,790.64
  5. Step 5: Solve for x
    x = 12,097,790.64/3,979.92
  6. Step 6: Final answer
    x = 3,039.71

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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.