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Finding the Fourth Proportional to 2,081.56, 3,118.86 and 2,005

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Solution

The fourth proportional to 2,081.56, 3,118.86 and 2,005 is: 3,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.56 : 3,118.86 = 2,005 : x
  2. Step 2: Convert to fraction form
    2,081.56/3,118.86 = 2,005/x
  3. Step 3: Cross multiply
    2,081.56x = 3,118.86 × 2,005
  4. Step 4: Simplify right side
    2,081.56x = 6,253,314.30
  5. Step 5: Solve for x
    x = 6,253,314.30/2,081.56
  6. Step 6: Final answer
    x = 3,004.15

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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.