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Finding the Fourth Proportional to 11,910.10, 17,835.99 and 8,391.46

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Solution

The fourth proportional to 11,910.10, 17,835.99 and 8,391.46 is: 12,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.10 : 17,835.99 = 8,391.46 : x
  2. Step 2: Convert to fraction form
    11,910.10/17,835.99 = 8,391.46/x
  3. Step 3: Cross multiply
    11,910.10x = 17,835.99 × 8,391.46
  4. Step 4: Simplify right side
    11,910.10x = 149,669,996.65
  5. Step 5: Solve for x
    x = 149,669,996.65/11,910.10
  6. Step 6: Final answer
    x = 12,566.64

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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.