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Finding the Fourth Proportional to 3,877.92, 5,815.71 and 1,104.39

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Solution

The fourth proportional to 3,877.92, 5,815.71 and 1,104.39 is: 1,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.92 : 5,815.71 = 1,104.39 : x
  2. Step 2: Convert to fraction form
    3,877.92/5,815.71 = 1,104.39/x
  3. Step 3: Cross multiply
    3,877.92x = 5,815.71 × 1,104.39
  4. Step 4: Simplify right side
    3,877.92x = 6,422,811.97
  5. Step 5: Solve for x
    x = 6,422,811.97/3,877.92
  6. Step 6: Final answer
    x = 1,656.25

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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.