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Finding the Fourth Proportional to 8,370.82, 12,558.54 and 6,806.95

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Solution

The fourth proportional to 8,370.82, 12,558.54 and 6,806.95 is: 10,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.82 : 12,558.54 = 6,806.95 : x
  2. Step 2: Convert to fraction form
    8,370.82/12,558.54 = 6,806.95/x
  3. Step 3: Cross multiply
    8,370.82x = 12,558.54 × 6,806.95
  4. Step 4: Simplify right side
    8,370.82x = 85,485,353.85
  5. Step 5: Solve for x
    x = 85,485,353.85/8,370.82
  6. Step 6: Final answer
    x = 10,212.30

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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.