Home / 6,834.80-10,232.28-5,198

Finding the Fourth Proportional to 6,834.80, 10,232.28 and 5,198

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Solution

The fourth proportional to 6,834.80, 10,232.28 and 5,198 is: 7,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.80 : 10,232.28 = 5,198 : x
  2. Step 2: Convert to fraction form
    6,834.80/10,232.28 = 5,198/x
  3. Step 3: Cross multiply
    6,834.80x = 10,232.28 × 5,198
  4. Step 4: Simplify right side
    6,834.80x = 53,187,391.44
  5. Step 5: Solve for x
    x = 53,187,391.44/6,834.80
  6. Step 6: Final answer
    x = 7,781.85

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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.