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Finding the Fourth Proportional to 6,965.82, 9,612.79 and 3,822

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Solution

The fourth proportional to 6,965.82, 9,612.79 and 3,822 is: 5,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.82 : 9,612.79 = 3,822 : x
  2. Step 2: Convert to fraction form
    6,965.82/9,612.79 = 3,822/x
  3. Step 3: Cross multiply
    6,965.82x = 9,612.79 × 3,822
  4. Step 4: Simplify right side
    6,965.82x = 36,740,083.38
  5. Step 5: Solve for x
    x = 36,740,083.38/6,965.82
  6. Step 6: Final answer
    x = 5,274.34

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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.