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Finding the Fourth Proportional to 1,944.82, 2,917.23 and 1,290.88

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Solution

The fourth proportional to 1,944.82, 2,917.23 and 1,290.88 is: 1,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.82 : 2,917.23 = 1,290.88 : x
  2. Step 2: Convert to fraction form
    1,944.82/2,917.23 = 1,290.88/x
  3. Step 3: Cross multiply
    1,944.82x = 2,917.23 × 1,290.88
  4. Step 4: Simplify right side
    1,944.82x = 3,765,786.57
  5. Step 5: Solve for x
    x = 3,765,786.57/1,944.82
  6. Step 6: Final answer
    x = 1,936.32

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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.