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Finding the Fourth Proportional to 2,108.48, 3,162.49 and 791.95

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Solution

The fourth proportional to 2,108.48, 3,162.49 and 791.95 is: 1,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.48 : 3,162.49 = 791.95 : x
  2. Step 2: Convert to fraction form
    2,108.48/3,162.49 = 791.95/x
  3. Step 3: Cross multiply
    2,108.48x = 3,162.49 × 791.95
  4. Step 4: Simplify right side
    2,108.48x = 2,504,543.35
  5. Step 5: Solve for x
    x = 2,504,543.35/2,108.48
  6. Step 6: Final answer
    x = 1,187.84

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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.