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Finding the Fourth Proportional to 11,489.65, 17,218.44 and 6,213.31

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Solution

The fourth proportional to 11,489.65, 17,218.44 and 6,213.31 is: 9,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.65 : 17,218.44 = 6,213.31 : x
  2. Step 2: Convert to fraction form
    11,489.65/17,218.44 = 6,213.31/x
  3. Step 3: Cross multiply
    11,489.65x = 17,218.44 × 6,213.31
  4. Step 4: Simplify right side
    11,489.65x = 106,983,462.39
  5. Step 5: Solve for x
    x = 106,983,462.39/11,489.65
  6. Step 6: Final answer
    x = 9,311.29

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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.