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Finding the Fourth Proportional to 6,805.04, 9,390.92 and 3,821

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Solution

The fourth proportional to 6,805.04, 9,390.92 and 3,821 is: 5,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.04 : 9,390.92 = 3,821 : x
  2. Step 2: Convert to fraction form
    6,805.04/9,390.92 = 3,821/x
  3. Step 3: Cross multiply
    6,805.04x = 9,390.92 × 3,821
  4. Step 4: Simplify right side
    6,805.04x = 35,882,705.32
  5. Step 5: Solve for x
    x = 35,882,705.32/6,805.04
  6. Step 6: Final answer
    x = 5,272.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.