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Finding the Fourth Proportional to 2,730.69, 3,771.50 and 1,987.97

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Solution

The fourth proportional to 2,730.69, 3,771.50 and 1,987.97 is: 2,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.69 : 3,771.50 = 1,987.97 : x
  2. Step 2: Convert to fraction form
    2,730.69/3,771.50 = 1,987.97/x
  3. Step 3: Cross multiply
    2,730.69x = 3,771.50 × 1,987.97
  4. Step 4: Simplify right side
    2,730.69x = 7,497,600.06
  5. Step 5: Solve for x
    x = 7,497,600.06/2,730.69
  6. Step 6: Final answer
    x = 2,745.68

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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.