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Finding the Fourth Proportional to 3,811.64, 5,711.99 and 2,164.71

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Solution

The fourth proportional to 3,811.64, 5,711.99 and 2,164.71 is: 3,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.64 : 5,711.99 = 2,164.71 : x
  2. Step 2: Convert to fraction form
    3,811.64/5,711.99 = 2,164.71/x
  3. Step 3: Cross multiply
    3,811.64x = 5,711.99 × 2,164.71
  4. Step 4: Simplify right side
    3,811.64x = 12,364,791.05
  5. Step 5: Solve for x
    x = 12,364,791.05/3,811.64
  6. Step 6: Final answer
    x = 3,243.96

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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.