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Finding the Fourth Proportional to 1,976.79, 2,729.26 and 1,268.90

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Solution

The fourth proportional to 1,976.79, 2,729.26 and 1,268.90 is: 1,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.79 : 2,729.26 = 1,268.90 : x
  2. Step 2: Convert to fraction form
    1,976.79/2,729.26 = 1,268.90/x
  3. Step 3: Cross multiply
    1,976.79x = 2,729.26 × 1,268.90
  4. Step 4: Simplify right side
    1,976.79x = 3,463,158.01
  5. Step 5: Solve for x
    x = 3,463,158.01/1,976.79
  6. Step 6: Final answer
    x = 1,751.91

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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.