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Finding the Fourth Proportional to 6,815.00, 10,217.03 and 3,851.61

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Solution

The fourth proportional to 6,815.00, 10,217.03 and 3,851.61 is: 5,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.00 : 10,217.03 = 3,851.61 : x
  2. Step 2: Convert to fraction form
    6,815.00/10,217.03 = 3,851.61/x
  3. Step 3: Cross multiply
    6,815.00x = 10,217.03 × 3,851.61
  4. Step 4: Simplify right side
    6,815.00x = 39,351,995.66
  5. Step 5: Solve for x
    x = 39,351,995.66/6,815.00
  6. Step 6: Final answer
    x = 5,774.32

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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.