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Finding the Fourth Proportional to 2,840.22, 3,917.16 and 2,249.82

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Solution

The fourth proportional to 2,840.22, 3,917.16 and 2,249.82 is: 3,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.22 : 3,917.16 = 2,249.82 : x
  2. Step 2: Convert to fraction form
    2,840.22/3,917.16 = 2,249.82/x
  3. Step 3: Cross multiply
    2,840.22x = 3,917.16 × 2,249.82
  4. Step 4: Simplify right side
    2,840.22x = 8,812,904.91
  5. Step 5: Solve for x
    x = 8,812,904.91/2,840.22
  6. Step 6: Final answer
    x = 3,102.90

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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.