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Finding the Fourth Proportional to 2,991.68, 4,481.94 and 2,167.94

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Solution

The fourth proportional to 2,991.68, 4,481.94 and 2,167.94 is: 3,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.68 : 4,481.94 = 2,167.94 : x
  2. Step 2: Convert to fraction form
    2,991.68/4,481.94 = 2,167.94/x
  3. Step 3: Cross multiply
    2,991.68x = 4,481.94 × 2,167.94
  4. Step 4: Simplify right side
    2,991.68x = 9,716,577.00
  5. Step 5: Solve for x
    x = 9,716,577.00/2,991.68
  6. Step 6: Final answer
    x = 3,247.87

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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.