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Finding the Fourth Proportional to 6,902.82, 10,352.49 and 1,972.49

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Solution

The fourth proportional to 6,902.82, 10,352.49 and 1,972.49 is: 2,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.82 : 10,352.49 = 1,972.49 : x
  2. Step 2: Convert to fraction form
    6,902.82/10,352.49 = 1,972.49/x
  3. Step 3: Cross multiply
    6,902.82x = 10,352.49 × 1,972.49
  4. Step 4: Simplify right side
    6,902.82x = 20,420,131.24
  5. Step 5: Solve for x
    x = 20,420,131.24/6,902.82
  6. Step 6: Final answer
    x = 2,958.23

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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.