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Finding the Fourth Proportional to 6,469.96, 9,723.12 and 3,838.72

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Solution

The fourth proportional to 6,469.96, 9,723.12 and 3,838.72 is: 5,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.96 : 9,723.12 = 3,838.72 : x
  2. Step 2: Convert to fraction form
    6,469.96/9,723.12 = 3,838.72/x
  3. Step 3: Cross multiply
    6,469.96x = 9,723.12 × 3,838.72
  4. Step 4: Simplify right side
    6,469.96x = 37,324,335.21
  5. Step 5: Solve for x
    x = 37,324,335.21/6,469.96
  6. Step 6: Final answer
    x = 5,768.87

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1.5x scale

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.