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Finding the Fourth Proportional to 6,980.84, 9,634.34 and 3,997

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Solution

The fourth proportional to 6,980.84, 9,634.34 and 3,997 is: 5,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.84 : 9,634.34 = 3,997 : x
  2. Step 2: Convert to fraction form
    6,980.84/9,634.34 = 3,997/x
  3. Step 3: Cross multiply
    6,980.84x = 9,634.34 × 3,997
  4. Step 4: Simplify right side
    6,980.84x = 38,508,456.98
  5. Step 5: Solve for x
    x = 38,508,456.98/6,980.84
  6. Step 6: Final answer
    x = 5,516.31

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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.