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Finding the Fourth Proportional to 3,876.80, 5,814.32 and 1,103.41

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Solution

The fourth proportional to 3,876.80, 5,814.32 and 1,103.41 is: 1,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.80 : 5,814.32 = 1,103.41 : x
  2. Step 2: Convert to fraction form
    3,876.80/5,814.32 = 1,103.41/x
  3. Step 3: Cross multiply
    3,876.80x = 5,814.32 × 1,103.41
  4. Step 4: Simplify right side
    3,876.80x = 6,415,578.83
  5. Step 5: Solve for x
    x = 6,415,578.83/3,876.80
  6. Step 6: Final answer
    x = 1,654.86

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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.