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Finding the Fourth Proportional to 8,512.46, 12,764.37 and 3,891.50

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Solution

The fourth proportional to 8,512.46, 12,764.37 and 3,891.50 is: 5,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.46 : 12,764.37 = 3,891.50 : x
  2. Step 2: Convert to fraction form
    8,512.46/12,764.37 = 3,891.50/x
  3. Step 3: Cross multiply
    8,512.46x = 12,764.37 × 3,891.50
  4. Step 4: Simplify right side
    8,512.46x = 49,672,545.86
  5. Step 5: Solve for x
    x = 49,672,545.86/8,512.46
  6. Step 6: Final answer
    x = 5,835.28

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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.