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Finding the Fourth Proportional to 3,976.98, 5,964.54 and 1,636.38

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Solution

The fourth proportional to 3,976.98, 5,964.54 and 1,636.38 is: 2,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.98 : 5,964.54 = 1,636.38 : x
  2. Step 2: Convert to fraction form
    3,976.98/5,964.54 = 1,636.38/x
  3. Step 3: Cross multiply
    3,976.98x = 5,964.54 × 1,636.38
  4. Step 4: Simplify right side
    3,976.98x = 9,760,253.97
  5. Step 5: Solve for x
    x = 9,760,253.97/3,976.98
  6. Step 6: Final answer
    x = 2,454.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.