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Finding the Fourth Proportional to 2,005.08, 2,766.72 and 1,120.72

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Solution

The fourth proportional to 2,005.08, 2,766.72 and 1,120.72 is: 1,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.08 : 2,766.72 = 1,120.72 : x
  2. Step 2: Convert to fraction form
    2,005.08/2,766.72 = 1,120.72/x
  3. Step 3: Cross multiply
    2,005.08x = 2,766.72 × 1,120.72
  4. Step 4: Simplify right side
    2,005.08x = 3,100,718.44
  5. Step 5: Solve for x
    x = 3,100,718.44/2,005.08
  6. Step 6: Final answer
    x = 1,546.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.