Home / 2,098.24-3,147.77-711.81

Finding the Fourth Proportional to 2,098.24, 3,147.77 and 711.81

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Solution

The fourth proportional to 2,098.24, 3,147.77 and 711.81 is: 1,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.24 : 3,147.77 = 711.81 : x
  2. Step 2: Convert to fraction form
    2,098.24/3,147.77 = 711.81/x
  3. Step 3: Cross multiply
    2,098.24x = 3,147.77 × 711.81
  4. Step 4: Simplify right side
    2,098.24x = 2,240,614.16
  5. Step 5: Solve for x
    x = 2,240,614.16/2,098.24
  6. Step 6: Final answer
    x = 1,067.85

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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.