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Finding the Fourth Proportional to 3,481.78, 4,805 and 1,909.94

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Solution

The fourth proportional to 3,481.78, 4,805 and 1,909.94 is: 2,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.78 : 4,805 = 1,909.94 : x
  2. Step 2: Convert to fraction form
    3,481.78/4,805 = 1,909.94/x
  3. Step 3: Cross multiply
    3,481.78x = 4,805 × 1,909.94
  4. Step 4: Simplify right side
    3,481.78x = 9,177,261.70
  5. Step 5: Solve for x
    x = 9,177,261.70/3,481.78
  6. Step 6: Final answer
    x = 2,635.80

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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.