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Finding the Fourth Proportional to 3,858.76, 5,771.66 and 3,221.66

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Solution

The fourth proportional to 3,858.76, 5,771.66 and 3,221.66 is: 4,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.76 : 5,771.66 = 3,221.66 : x
  2. Step 2: Convert to fraction form
    3,858.76/5,771.66 = 3,221.66/x
  3. Step 3: Cross multiply
    3,858.76x = 5,771.66 × 3,221.66
  4. Step 4: Simplify right side
    3,858.76x = 18,594,336.56
  5. Step 5: Solve for x
    x = 18,594,336.56/3,858.76
  6. Step 6: Final answer
    x = 4,818.73

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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.