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Finding the Fourth Proportional to 8,385.34, 12,572 and 3,940.52

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Solution

The fourth proportional to 8,385.34, 12,572 and 3,940.52 is: 5,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.34 : 12,572 = 3,940.52 : x
  2. Step 2: Convert to fraction form
    8,385.34/12,572 = 3,940.52/x
  3. Step 3: Cross multiply
    8,385.34x = 12,572 × 3,940.52
  4. Step 4: Simplify right side
    8,385.34x = 49,540,217.44
  5. Step 5: Solve for x
    x = 49,540,217.44/8,385.34
  6. Step 6: Final answer
    x = 5,907.96

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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.