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Finding the Fourth Proportional to 3,855.69, 5,784.75 and 2,747.61

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Solution

The fourth proportional to 3,855.69, 5,784.75 and 2,747.61 is: 4,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.69 : 5,784.75 = 2,747.61 : x
  2. Step 2: Convert to fraction form
    3,855.69/5,784.75 = 2,747.61/x
  3. Step 3: Cross multiply
    3,855.69x = 5,784.75 × 2,747.61
  4. Step 4: Simplify right side
    3,855.69x = 15,894,236.95
  5. Step 5: Solve for x
    x = 15,894,236.95/3,855.69
  6. Step 6: Final answer
    x = 4,122.28

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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.