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Finding the Fourth Proportional to 8,229.72, 12,350.04 and 7,682.97

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Solution

The fourth proportional to 8,229.72, 12,350.04 and 7,682.97 is: 11,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.72 : 12,350.04 = 7,682.97 : x
  2. Step 2: Convert to fraction form
    8,229.72/12,350.04 = 7,682.97/x
  3. Step 3: Cross multiply
    8,229.72x = 12,350.04 × 7,682.97
  4. Step 4: Simplify right side
    8,229.72x = 94,884,986.82
  5. Step 5: Solve for x
    x = 94,884,986.82/8,229.72
  6. Step 6: Final answer
    x = 11,529.55

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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.