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Finding the Fourth Proportional to 6,832, 9,428.23 and 3,847.69

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Solution

The fourth proportional to 6,832, 9,428.23 and 3,847.69 is: 5,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832 : 9,428.23 = 3,847.69 : x
  2. Step 2: Convert to fraction form
    6,832/9,428.23 = 3,847.69/x
  3. Step 3: Cross multiply
    6,832x = 9,428.23 × 3,847.69
  4. Step 4: Simplify right side
    6,832x = 36,276,906.29
  5. Step 5: Solve for x
    x = 36,276,906.29/6,832
  6. Step 6: Final answer
    x = 5,309.85

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1.5x scale

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.