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Finding the Fourth Proportional to 2,939.73, 4,410.26 and 991.88

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Solution

The fourth proportional to 2,939.73, 4,410.26 and 991.88 is: 1,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.73 : 4,410.26 = 991.88 : x
  2. Step 2: Convert to fraction form
    2,939.73/4,410.26 = 991.88/x
  3. Step 3: Cross multiply
    2,939.73x = 4,410.26 × 991.88
  4. Step 4: Simplify right side
    2,939.73x = 4,374,448.69
  5. Step 5: Solve for x
    x = 4,374,448.69/2,939.73
  6. Step 6: Final answer
    x = 1,488.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.