Home / 2,115.12-3,174.24-800.08

Finding the Fourth Proportional to 2,115.12, 3,174.24 and 800.08

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Solution

The fourth proportional to 2,115.12, 3,174.24 and 800.08 is: 1,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.12 : 3,174.24 = 800.08 : x
  2. Step 2: Convert to fraction form
    2,115.12/3,174.24 = 800.08/x
  3. Step 3: Cross multiply
    2,115.12x = 3,174.24 × 800.08
  4. Step 4: Simplify right side
    2,115.12x = 2,539,645.94
  5. Step 5: Solve for x
    x = 2,539,645.94/2,115.12
  6. Step 6: Final answer
    x = 1,200.71

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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.