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Finding the Fourth Proportional to 2,731.69, 3,772.88 and 1,988.97

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Solution

The fourth proportional to 2,731.69, 3,772.88 and 1,988.97 is: 2,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.69 : 3,772.88 = 1,988.97 : x
  2. Step 2: Convert to fraction form
    2,731.69/3,772.88 = 1,988.97/x
  3. Step 3: Cross multiply
    2,731.69x = 3,772.88 × 1,988.97
  4. Step 4: Simplify right side
    2,731.69x = 7,504,145.13
  5. Step 5: Solve for x
    x = 7,504,145.13/2,731.69
  6. Step 6: Final answer
    x = 2,747.07

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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.