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Finding the Fourth Proportional to 3,855.95, 5,791.75 and 3,403.97

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Solution

The fourth proportional to 3,855.95, 5,791.75 and 3,403.97 is: 5,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.95 : 5,791.75 = 3,403.97 : x
  2. Step 2: Convert to fraction form
    3,855.95/5,791.75 = 3,403.97/x
  3. Step 3: Cross multiply
    3,855.95x = 5,791.75 × 3,403.97
  4. Step 4: Simplify right side
    3,855.95x = 19,714,897.27
  5. Step 5: Solve for x
    x = 19,714,897.27/3,855.95
  6. Step 6: Final answer
    x = 5,112.86

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1.5x scale

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.