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Finding the Fourth Proportional to 11,872.20, 16,382.20 and 6,836.16

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Solution

The fourth proportional to 11,872.20, 16,382.20 and 6,836.16 is: 9,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.20 : 16,382.20 = 6,836.16 : x
  2. Step 2: Convert to fraction form
    11,872.20/16,382.20 = 6,836.16/x
  3. Step 3: Cross multiply
    11,872.20x = 16,382.20 × 6,836.16
  4. Step 4: Simplify right side
    11,872.20x = 111,991,340.35
  5. Step 5: Solve for x
    x = 111,991,340.35/11,872.20
  6. Step 6: Final answer
    x = 9,433.07

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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.