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Finding the Fourth Proportional to 3,917.66, 5,406.19 and 2,149.22

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Solution

The fourth proportional to 3,917.66, 5,406.19 and 2,149.22 is: 2,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.66 : 5,406.19 = 2,149.22 : x
  2. Step 2: Convert to fraction form
    3,917.66/5,406.19 = 2,149.22/x
  3. Step 3: Cross multiply
    3,917.66x = 5,406.19 × 2,149.22
  4. Step 4: Simplify right side
    3,917.66x = 11,619,099.81
  5. Step 5: Solve for x
    x = 11,619,099.81/3,917.66
  6. Step 6: Final answer
    x = 2,965.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.