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Finding the Fourth Proportional to 6,898, 9,519.24 and 3,754.21

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Solution

The fourth proportional to 6,898, 9,519.24 and 3,754.21 is: 5,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898 : 9,519.24 = 3,754.21 : x
  2. Step 2: Convert to fraction form
    6,898/9,519.24 = 3,754.21/x
  3. Step 3: Cross multiply
    6,898x = 9,519.24 × 3,754.21
  4. Step 4: Simplify right side
    6,898x = 35,737,226.00
  5. Step 5: Solve for x
    x = 35,737,226.00/6,898
  6. Step 6: Final answer
    x = 5,180.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.