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Finding the Fourth Proportional to 11,986.65, 17,989.16 and 8,469.09

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Solution

The fourth proportional to 11,986.65, 17,989.16 and 8,469.09 is: 12,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.65 : 17,989.16 = 8,469.09 : x
  2. Step 2: Convert to fraction form
    11,986.65/17,989.16 = 8,469.09/x
  3. Step 3: Cross multiply
    11,986.65x = 17,989.16 × 8,469.09
  4. Step 4: Simplify right side
    11,986.65x = 152,351,772.72
  5. Step 5: Solve for x
    x = 152,351,772.72/11,986.65
  6. Step 6: Final answer
    x = 12,710.12

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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.