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Finding the Fourth Proportional to 2,252.54, 3,377.28 and 791.50

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Solution

The fourth proportional to 2,252.54, 3,377.28 and 791.50 is: 1,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.54 : 3,377.28 = 791.50 : x
  2. Step 2: Convert to fraction form
    2,252.54/3,377.28 = 791.50/x
  3. Step 3: Cross multiply
    2,252.54x = 3,377.28 × 791.50
  4. Step 4: Simplify right side
    2,252.54x = 2,673,117.12
  5. Step 5: Solve for x
    x = 2,673,117.12/2,252.54
  6. Step 6: Final answer
    x = 1,186.71

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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.