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Finding the Fourth Proportional to 11,213.12, 16,797.76 and 6,819.68

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Solution

The fourth proportional to 11,213.12, 16,797.76 and 6,819.68 is: 10,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.12 : 16,797.76 = 6,819.68 : x
  2. Step 2: Convert to fraction form
    11,213.12/16,797.76 = 6,819.68/x
  3. Step 3: Cross multiply
    11,213.12x = 16,797.76 × 6,819.68
  4. Step 4: Simplify right side
    11,213.12x = 114,555,347.92
  5. Step 5: Solve for x
    x = 114,555,347.92/11,213.12
  6. Step 6: Final answer
    x = 10,216.19

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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.