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Finding the Fourth Proportional to 11,694.80, 16,138.83 and 6,389.61

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Solution

The fourth proportional to 11,694.80, 16,138.83 and 6,389.61 is: 8,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.80 : 16,138.83 = 6,389.61 : x
  2. Step 2: Convert to fraction form
    11,694.80/16,138.83 = 6,389.61/x
  3. Step 3: Cross multiply
    11,694.80x = 16,138.83 × 6,389.61
  4. Step 4: Simplify right side
    11,694.80x = 103,120,829.56
  5. Step 5: Solve for x
    x = 103,120,829.56/11,694.80
  6. Step 6: Final answer
    x = 8,817.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.