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Finding the Fourth Proportional to 2,108.94, 3,163.49 and 792.57

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Solution

The fourth proportional to 2,108.94, 3,163.49 and 792.57 is: 1,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.94 : 3,163.49 = 792.57 : x
  2. Step 2: Convert to fraction form
    2,108.94/3,163.49 = 792.57/x
  3. Step 3: Cross multiply
    2,108.94x = 3,163.49 × 792.57
  4. Step 4: Simplify right side
    2,108.94x = 2,507,287.27
  5. Step 5: Solve for x
    x = 2,507,287.27/2,108.94
  6. Step 6: Final answer
    x = 1,188.89

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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.