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Finding the Fourth Proportional to 6,906.82, 10,358.49 and 1,976.49

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Solution

The fourth proportional to 6,906.82, 10,358.49 and 1,976.49 is: 2,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.82 : 10,358.49 = 1,976.49 : x
  2. Step 2: Convert to fraction form
    6,906.82/10,358.49 = 1,976.49/x
  3. Step 3: Cross multiply
    6,906.82x = 10,358.49 × 1,976.49
  4. Step 4: Simplify right side
    6,906.82x = 20,473,400.11
  5. Step 5: Solve for x
    x = 20,473,400.11/6,906.82
  6. Step 6: Final answer
    x = 2,964.23

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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.