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Finding the Fourth Proportional to 2,998.71, 4,135.99 and 2,201.78

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Solution

The fourth proportional to 2,998.71, 4,135.99 and 2,201.78 is: 3,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.71 : 4,135.99 = 2,201.78 : x
  2. Step 2: Convert to fraction form
    2,998.71/4,135.99 = 2,201.78/x
  3. Step 3: Cross multiply
    2,998.71x = 4,135.99 × 2,201.78
  4. Step 4: Simplify right side
    2,998.71x = 9,106,540.06
  5. Step 5: Solve for x
    x = 9,106,540.06/2,998.71
  6. Step 6: Final answer
    x = 3,036.82

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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.