Home / 6,815.84-10,223.40-2,198.48

Finding the Fourth Proportional to 6,815.84, 10,223.40 and 2,198.48

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Solution

The fourth proportional to 6,815.84, 10,223.40 and 2,198.48 is: 3,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.84 : 10,223.40 = 2,198.48 : x
  2. Step 2: Convert to fraction form
    6,815.84/10,223.40 = 2,198.48/x
  3. Step 3: Cross multiply
    6,815.84x = 10,223.40 × 2,198.48
  4. Step 4: Simplify right side
    6,815.84x = 22,475,940.43
  5. Step 5: Solve for x
    x = 22,475,940.43/6,815.84
  6. Step 6: Final answer
    x = 3,297.60

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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.