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Finding the Fourth Proportional to 3,578.64, 4,940.82 and 2,917.08

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Solution

The fourth proportional to 3,578.64, 4,940.82 and 2,917.08 is: 4,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.64 : 4,940.82 = 2,917.08 : x
  2. Step 2: Convert to fraction form
    3,578.64/4,940.82 = 2,917.08/x
  3. Step 3: Cross multiply
    3,578.64x = 4,940.82 × 2,917.08
  4. Step 4: Simplify right side
    3,578.64x = 14,412,767.21
  5. Step 5: Solve for x
    x = 14,412,767.21/3,578.64
  6. Step 6: Final answer
    x = 4,027.44

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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.