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Finding the Fourth Proportional to 8,309.70, 12,464.55 and 6,845.22

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Solution

The fourth proportional to 8,309.70, 12,464.55 and 6,845.22 is: 10,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.70 : 12,464.55 = 6,845.22 : x
  2. Step 2: Convert to fraction form
    8,309.70/12,464.55 = 6,845.22/x
  3. Step 3: Cross multiply
    8,309.70x = 12,464.55 × 6,845.22
  4. Step 4: Simplify right side
    8,309.70x = 85,322,586.95
  5. Step 5: Solve for x
    x = 85,322,586.95/8,309.70
  6. Step 6: Final answer
    x = 10,267.83

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Similar ratio
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1.5x scale

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.