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Finding the Fourth Proportional to 6,809.96, 10,212.77 and 2,191.88

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Solution

The fourth proportional to 6,809.96, 10,212.77 and 2,191.88 is: 3,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.96 : 10,212.77 = 2,191.88 : x
  2. Step 2: Convert to fraction form
    6,809.96/10,212.77 = 2,191.88/x
  3. Step 3: Cross multiply
    6,809.96x = 10,212.77 × 2,191.88
  4. Step 4: Simplify right side
    6,809.96x = 22,385,104.28
  5. Step 5: Solve for x
    x = 22,385,104.28/6,809.96
  6. Step 6: Final answer
    x = 3,287.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.