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Finding the Fourth Proportional to 2,108.87, 3,163.65 and 792.73

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Solution

The fourth proportional to 2,108.87, 3,163.65 and 792.73 is: 1,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.87 : 3,163.65 = 792.73 : x
  2. Step 2: Convert to fraction form
    2,108.87/3,163.65 = 792.73/x
  3. Step 3: Cross multiply
    2,108.87x = 3,163.65 × 792.73
  4. Step 4: Simplify right side
    2,108.87x = 2,507,920.26
  5. Step 5: Solve for x
    x = 2,507,920.26/2,108.87
  6. Step 6: Final answer
    x = 1,189.22

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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.