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Finding the Fourth Proportional to 3,855.70, 5,784.77 and 1,906.54

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Solution

The fourth proportional to 3,855.70, 5,784.77 and 1,906.54 is: 2,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.70 : 5,784.77 = 1,906.54 : x
  2. Step 2: Convert to fraction form
    3,855.70/5,784.77 = 1,906.54/x
  3. Step 3: Cross multiply
    3,855.70x = 5,784.77 × 1,906.54
  4. Step 4: Simplify right side
    3,855.70x = 11,028,874.98
  5. Step 5: Solve for x
    x = 11,028,874.98/3,855.70
  6. Step 6: Final answer
    x = 2,860.41

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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.