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Finding the Fourth Proportional to 2,027.66, 3,037.97 and 1,979.22

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Solution

The fourth proportional to 2,027.66, 3,037.97 and 1,979.22 is: 2,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.66 : 3,037.97 = 1,979.22 : x
  2. Step 2: Convert to fraction form
    2,027.66/3,037.97 = 1,979.22/x
  3. Step 3: Cross multiply
    2,027.66x = 3,037.97 × 1,979.22
  4. Step 4: Simplify right side
    2,027.66x = 6,012,801.09
  5. Step 5: Solve for x
    x = 6,012,801.09/2,027.66
  6. Step 6: Final answer
    x = 2,965.40

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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.