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Finding the Fourth Proportional to 2,991.88, 4,487.48 and 800.79

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Solution

The fourth proportional to 2,991.88, 4,487.48 and 800.79 is: 1,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.88 : 4,487.48 = 800.79 : x
  2. Step 2: Convert to fraction form
    2,991.88/4,487.48 = 800.79/x
  3. Step 3: Cross multiply
    2,991.88x = 4,487.48 × 800.79
  4. Step 4: Simplify right side
    2,991.88x = 3,593,511.28
  5. Step 5: Solve for x
    x = 3,593,511.28/2,991.88
  6. Step 6: Final answer
    x = 1,201.09

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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.