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Finding the Fourth Proportional to 11,816.98, 17,725.46 and 8,107.96

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Solution

The fourth proportional to 11,816.98, 17,725.46 and 8,107.96 is: 12,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.98 : 17,725.46 = 8,107.96 : x
  2. Step 2: Convert to fraction form
    11,816.98/17,725.46 = 8,107.96/x
  3. Step 3: Cross multiply
    11,816.98x = 17,725.46 × 8,107.96
  4. Step 4: Simplify right side
    11,816.98x = 143,717,368.08
  5. Step 5: Solve for x
    x = 143,717,368.08/11,816.98
  6. Step 6: Final answer
    x = 12,161.94

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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.