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Finding the Fourth Proportional to 3,843.42, 5,766.02 and 1,764.86

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Solution

The fourth proportional to 3,843.42, 5,766.02 and 1,764.86 is: 2,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.42 : 5,766.02 = 1,764.86 : x
  2. Step 2: Convert to fraction form
    3,843.42/5,766.02 = 1,764.86/x
  3. Step 3: Cross multiply
    3,843.42x = 5,766.02 × 1,764.86
  4. Step 4: Simplify right side
    3,843.42x = 10,176,218.06
  5. Step 5: Solve for x
    x = 10,176,218.06/3,843.42
  6. Step 6: Final answer
    x = 2,647.70

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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.