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Finding the Fourth Proportional to 6,978, 9,629.64 and 3,834.21

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Solution

The fourth proportional to 6,978, 9,629.64 and 3,834.21 is: 5,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 9,629.64 = 3,834.21 : x
  2. Step 2: Convert to fraction form
    6,978/9,629.64 = 3,834.21/x
  3. Step 3: Cross multiply
    6,978x = 9,629.64 × 3,834.21
  4. Step 4: Simplify right side
    6,978x = 36,922,061.98
  5. Step 5: Solve for x
    x = 36,922,061.98/6,978
  6. Step 6: Final answer
    x = 5,291.21

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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.