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Finding the Fourth Proportional to 3,296.86, 4,945.83 and 1,447.90

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Solution

The fourth proportional to 3,296.86, 4,945.83 and 1,447.90 is: 2,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.86 : 4,945.83 = 1,447.90 : x
  2. Step 2: Convert to fraction form
    3,296.86/4,945.83 = 1,447.90/x
  3. Step 3: Cross multiply
    3,296.86x = 4,945.83 × 1,447.90
  4. Step 4: Simplify right side
    3,296.86x = 7,161,067.26
  5. Step 5: Solve for x
    x = 7,161,067.26/3,296.86
  6. Step 6: Final answer
    x = 2,172.09

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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.