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Finding the Fourth Proportional to 10,819.81, 16,187.01 and 8,194.88

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Solution

The fourth proportional to 10,819.81, 16,187.01 and 8,194.88 is: 12,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.81 : 16,187.01 = 8,194.88 : x
  2. Step 2: Convert to fraction form
    10,819.81/16,187.01 = 8,194.88/x
  3. Step 3: Cross multiply
    10,819.81x = 16,187.01 × 8,194.88
  4. Step 4: Simplify right side
    10,819.81x = 132,650,637.86
  5. Step 5: Solve for x
    x = 132,650,637.86/10,819.81
  6. Step 6: Final answer
    x = 12,259.98

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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.