Home / 2,098.20-3,147.27-711.53

Finding the Fourth Proportional to 2,098.20, 3,147.27 and 711.53

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Solution

The fourth proportional to 2,098.20, 3,147.27 and 711.53 is: 1,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.20 : 3,147.27 = 711.53 : x
  2. Step 2: Convert to fraction form
    2,098.20/3,147.27 = 711.53/x
  3. Step 3: Cross multiply
    2,098.20x = 3,147.27 × 711.53
  4. Step 4: Simplify right side
    2,098.20x = 2,239,377.02
  5. Step 5: Solve for x
    x = 2,239,377.02/2,098.20
  6. Step 6: Final answer
    x = 1,067.28

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1.5x scale

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.