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Finding the Fourth Proportional to 2,558.82, 3,830.73 and 1,944.97

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Solution

The fourth proportional to 2,558.82, 3,830.73 and 1,944.97 is: 2,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.82 : 3,830.73 = 1,944.97 : x
  2. Step 2: Convert to fraction form
    2,558.82/3,830.73 = 1,944.97/x
  3. Step 3: Cross multiply
    2,558.82x = 3,830.73 × 1,944.97
  4. Step 4: Simplify right side
    2,558.82x = 7,450,654.93
  5. Step 5: Solve for x
    x = 7,450,654.93/2,558.82
  6. Step 6: Final answer
    x = 2,911.75

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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.