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Finding the Fourth Proportional to 2,791.88, 3,852.92 and 1,673

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Solution

The fourth proportional to 2,791.88, 3,852.92 and 1,673 is: 2,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.88 : 3,852.92 = 1,673 : x
  2. Step 2: Convert to fraction form
    2,791.88/3,852.92 = 1,673/x
  3. Step 3: Cross multiply
    2,791.88x = 3,852.92 × 1,673
  4. Step 4: Simplify right side
    2,791.88x = 6,445,935.16
  5. Step 5: Solve for x
    x = 6,445,935.16/2,791.88
  6. Step 6: Final answer
    x = 2,308.82

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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.