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Finding the Fourth Proportional to 8,592.72, 12,879.24 and 3,966

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Solution

The fourth proportional to 8,592.72, 12,879.24 and 3,966 is: 5,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.72 : 12,879.24 = 3,966 : x
  2. Step 2: Convert to fraction form
    8,592.72/12,879.24 = 3,966/x
  3. Step 3: Cross multiply
    8,592.72x = 12,879.24 × 3,966
  4. Step 4: Simplify right side
    8,592.72x = 51,079,065.84
  5. Step 5: Solve for x
    x = 51,079,065.84/8,592.72
  6. Step 6: Final answer
    x = 5,944.46

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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.