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Finding the Fourth Proportional to 2,791.70, 3,852.41 and 1,672.68

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Solution

The fourth proportional to 2,791.70, 3,852.41 and 1,672.68 is: 2,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.70 : 3,852.41 = 1,672.68 : x
  2. Step 2: Convert to fraction form
    2,791.70/3,852.41 = 1,672.68/x
  3. Step 3: Cross multiply
    2,791.70x = 3,852.41 × 1,672.68
  4. Step 4: Simplify right side
    2,791.70x = 6,443,840.80
  5. Step 5: Solve for x
    x = 6,443,840.80/2,791.70
  6. Step 6: Final answer
    x = 2,308.22

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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.