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Finding the Fourth Proportional to 6,808.56, 10,214.49 and 2,857.65

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Solution

The fourth proportional to 6,808.56, 10,214.49 and 2,857.65 is: 4,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.56 : 10,214.49 = 2,857.65 : x
  2. Step 2: Convert to fraction form
    6,808.56/10,214.49 = 2,857.65/x
  3. Step 3: Cross multiply
    6,808.56x = 10,214.49 × 2,857.65
  4. Step 4: Simplify right side
    6,808.56x = 29,189,437.35
  5. Step 5: Solve for x
    x = 29,189,437.35/6,808.56
  6. Step 6: Final answer
    x = 4,287.17

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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.