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Finding the Fourth Proportional to 8,571.86, 12,858.16 and 4,193

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Solution

The fourth proportional to 8,571.86, 12,858.16 and 4,193 is: 6,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.86 : 12,858.16 = 4,193 : x
  2. Step 2: Convert to fraction form
    8,571.86/12,858.16 = 4,193/x
  3. Step 3: Cross multiply
    8,571.86x = 12,858.16 × 4,193
  4. Step 4: Simplify right side
    8,571.86x = 53,914,264.88
  5. Step 5: Solve for x
    x = 53,914,264.88/8,571.86
  6. Step 6: Final answer
    x = 6,289.68

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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.