Home / 2,098.05-3,144.78-865.13

Finding the Fourth Proportional to 2,098.05, 3,144.78 and 865.13

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Solution

The fourth proportional to 2,098.05, 3,144.78 and 865.13 is: 1,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.05 : 3,144.78 = 865.13 : x
  2. Step 2: Convert to fraction form
    2,098.05/3,144.78 = 865.13/x
  3. Step 3: Cross multiply
    2,098.05x = 3,144.78 × 865.13
  4. Step 4: Simplify right side
    2,098.05x = 2,720,627.80
  5. Step 5: Solve for x
    x = 2,720,627.80/2,098.05
  6. Step 6: Final answer
    x = 1,296.74

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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.