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Finding the Fourth Proportional to 2,791.52, 3,852.40 and 1,549.52

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Solution

The fourth proportional to 2,791.52, 3,852.40 and 1,549.52 is: 2,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.52 : 3,852.40 = 1,549.52 : x
  2. Step 2: Convert to fraction form
    2,791.52/3,852.40 = 1,549.52/x
  3. Step 3: Cross multiply
    2,791.52x = 3,852.40 × 1,549.52
  4. Step 4: Simplify right side
    2,791.52x = 5,969,370.85
  5. Step 5: Solve for x
    x = 5,969,370.85/2,791.52
  6. Step 6: Final answer
    x = 2,138.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.