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Finding the Fourth Proportional to 2,648.97, 3,970.86 and 1,261.92

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Solution

The fourth proportional to 2,648.97, 3,970.86 and 1,261.92 is: 1,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.97 : 3,970.86 = 1,261.92 : x
  2. Step 2: Convert to fraction form
    2,648.97/3,970.86 = 1,261.92/x
  3. Step 3: Cross multiply
    2,648.97x = 3,970.86 × 1,261.92
  4. Step 4: Simplify right side
    2,648.97x = 5,010,907.65
  5. Step 5: Solve for x
    x = 5,010,907.65/2,648.97
  6. Step 6: Final answer
    x = 1,891.64

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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.