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Finding the Fourth Proportional to 2,054.73, 3,079.80 and 820.44

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Solution

The fourth proportional to 2,054.73, 3,079.80 and 820.44 is: 1,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.73 : 3,079.80 = 820.44 : x
  2. Step 2: Convert to fraction form
    2,054.73/3,079.80 = 820.44/x
  3. Step 3: Cross multiply
    2,054.73x = 3,079.80 × 820.44
  4. Step 4: Simplify right side
    2,054.73x = 2,526,791.11
  5. Step 5: Solve for x
    x = 2,526,791.11/2,054.73
  6. Step 6: Final answer
    x = 1,229.74

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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.