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Finding the Fourth Proportional to 6,991.94, 9,650 and 4,121.14

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Solution

The fourth proportional to 6,991.94, 9,650 and 4,121.14 is: 5,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.94 : 9,650 = 4,121.14 : x
  2. Step 2: Convert to fraction form
    6,991.94/9,650 = 4,121.14/x
  3. Step 3: Cross multiply
    6,991.94x = 9,650 × 4,121.14
  4. Step 4: Simplify right side
    6,991.94x = 39,769,001
  5. Step 5: Solve for x
    x = 39,769,001/6,991.94
  6. Step 6: Final answer
    x = 5,687.83

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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.