Home / 2,107.12-3,162.24-792.08

Finding the Fourth Proportional to 2,107.12, 3,162.24 and 792.08

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Solution

The fourth proportional to 2,107.12, 3,162.24 and 792.08 is: 1,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.12 : 3,162.24 = 792.08 : x
  2. Step 2: Convert to fraction form
    2,107.12/3,162.24 = 792.08/x
  3. Step 3: Cross multiply
    2,107.12x = 3,162.24 × 792.08
  4. Step 4: Simplify right side
    2,107.12x = 2,504,747.06
  5. Step 5: Solve for x
    x = 2,504,747.06/2,107.12
  6. Step 6: Final answer
    x = 1,188.71

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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.