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Finding the Fourth Proportional to 2,273.71, 3,408.55 and 791.91

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Solution

The fourth proportional to 2,273.71, 3,408.55 and 791.91 is: 1,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.71 : 3,408.55 = 791.91 : x
  2. Step 2: Convert to fraction form
    2,273.71/3,408.55 = 791.91/x
  3. Step 3: Cross multiply
    2,273.71x = 3,408.55 × 791.91
  4. Step 4: Simplify right side
    2,273.71x = 2,699,264.83
  5. Step 5: Solve for x
    x = 2,699,264.83/2,273.71
  6. Step 6: Final answer
    x = 1,187.16

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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.