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Finding the Fourth Proportional to 2,846.88, 3,917.97 and 2,099.66

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Solution

The fourth proportional to 2,846.88, 3,917.97 and 2,099.66 is: 2,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.88 : 3,917.97 = 2,099.66 : x
  2. Step 2: Convert to fraction form
    2,846.88/3,917.97 = 2,099.66/x
  3. Step 3: Cross multiply
    2,846.88x = 3,917.97 × 2,099.66
  4. Step 4: Simplify right side
    2,846.88x = 8,226,385.30
  5. Step 5: Solve for x
    x = 8,226,385.30/2,846.88
  6. Step 6: Final answer
    x = 2,889.61

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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.