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Finding the Fourth Proportional to 3,654.43, 5,043.08 and 1,975.82

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Solution

The fourth proportional to 3,654.43, 5,043.08 and 1,975.82 is: 2,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.43 : 5,043.08 = 1,975.82 : x
  2. Step 2: Convert to fraction form
    3,654.43/5,043.08 = 1,975.82/x
  3. Step 3: Cross multiply
    3,654.43x = 5,043.08 × 1,975.82
  4. Step 4: Simplify right side
    3,654.43x = 9,964,183.23
  5. Step 5: Solve for x
    x = 9,964,183.23/3,654.43
  6. Step 6: Final answer
    x = 2,726.61

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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.