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Finding the Fourth Proportional to 3,658.97, 5,049.38 and 1,980.37

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Solution

The fourth proportional to 3,658.97, 5,049.38 and 1,980.37 is: 2,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.97 : 5,049.38 = 1,980.37 : x
  2. Step 2: Convert to fraction form
    3,658.97/5,049.38 = 1,980.37/x
  3. Step 3: Cross multiply
    3,658.97x = 5,049.38 × 1,980.37
  4. Step 4: Simplify right side
    3,658.97x = 9,999,660.56
  5. Step 5: Solve for x
    x = 9,999,660.56/3,658.97
  6. Step 6: Final answer
    x = 2,732.91

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1.5x scale

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.