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Finding the Fourth Proportional to 10,906.91, 16,346.64 and 5,909.09

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Solution

The fourth proportional to 10,906.91, 16,346.64 and 5,909.09 is: 8,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.91 : 16,346.64 = 5,909.09 : x
  2. Step 2: Convert to fraction form
    10,906.91/16,346.64 = 5,909.09/x
  3. Step 3: Cross multiply
    10,906.91x = 16,346.64 × 5,909.09
  4. Step 4: Simplify right side
    10,906.91x = 96,593,766.96
  5. Step 5: Solve for x
    x = 96,593,766.96/10,906.91
  6. Step 6: Final answer
    x = 8,856.20

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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.