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Finding the Fourth Proportional to 2,940.28, 4,408.86 and 991.84

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Solution

The fourth proportional to 2,940.28, 4,408.86 and 991.84 is: 1,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.28 : 4,408.86 = 991.84 : x
  2. Step 2: Convert to fraction form
    2,940.28/4,408.86 = 991.84/x
  3. Step 3: Cross multiply
    2,940.28x = 4,408.86 × 991.84
  4. Step 4: Simplify right side
    2,940.28x = 4,372,883.70
  5. Step 5: Solve for x
    x = 4,372,883.70/2,940.28
  6. Step 6: Final answer
    x = 1,487.23

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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.