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Finding the Fourth Proportional to 2,745.90, 3,786.03 and 1,907.31

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Solution

The fourth proportional to 2,745.90, 3,786.03 and 1,907.31 is: 2,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.90 : 3,786.03 = 1,907.31 : x
  2. Step 2: Convert to fraction form
    2,745.90/3,786.03 = 1,907.31/x
  3. Step 3: Cross multiply
    2,745.90x = 3,786.03 × 1,907.31
  4. Step 4: Simplify right side
    2,745.90x = 7,221,132.88
  5. Step 5: Solve for x
    x = 7,221,132.88/2,745.90
  6. Step 6: Final answer
    x = 2,629.79

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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.