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Finding the Fourth Proportional to 11,308.88, 16,961.49 and 8,011.98

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Solution

The fourth proportional to 11,308.88, 16,961.49 and 8,011.98 is: 12,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.88 : 16,961.49 = 8,011.98 : x
  2. Step 2: Convert to fraction form
    11,308.88/16,961.49 = 8,011.98/x
  3. Step 3: Cross multiply
    11,308.88x = 16,961.49 × 8,011.98
  4. Step 4: Simplify right side
    11,308.88x = 135,895,118.65
  5. Step 5: Solve for x
    x = 135,895,118.65/11,308.88
  6. Step 6: Final answer
    x = 12,016.68

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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.