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Finding the Fourth Proportional to 6,813.14, 10,220.14 and 1,815.43

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Solution

The fourth proportional to 6,813.14, 10,220.14 and 1,815.43 is: 2,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.14 : 10,220.14 = 1,815.43 : x
  2. Step 2: Convert to fraction form
    6,813.14/10,220.14 = 1,815.43/x
  3. Step 3: Cross multiply
    6,813.14x = 10,220.14 × 1,815.43
  4. Step 4: Simplify right side
    6,813.14x = 18,553,897.66
  5. Step 5: Solve for x
    x = 18,553,897.66/6,813.14
  6. Step 6: Final answer
    x = 2,723.25

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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.