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Finding the Fourth Proportional to 5,198.78, 7,791.60 and 2,273.60

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Solution

The fourth proportional to 5,198.78, 7,791.60 and 2,273.60 is: 3,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.78 : 7,791.60 = 2,273.60 : x
  2. Step 2: Convert to fraction form
    5,198.78/7,791.60 = 2,273.60/x
  3. Step 3: Cross multiply
    5,198.78x = 7,791.60 × 2,273.60
  4. Step 4: Simplify right side
    5,198.78x = 17,714,981.76
  5. Step 5: Solve for x
    x = 17,714,981.76/5,198.78
  6. Step 6: Final answer
    x = 3,407.53

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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.