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Finding the Fourth Proportional to 10,999, 15,178.62 and 6,031

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Solution

The fourth proportional to 10,999, 15,178.62 and 6,031 is: 8,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999 : 15,178.62 = 6,031 : x
  2. Step 2: Convert to fraction form
    10,999/15,178.62 = 6,031/x
  3. Step 3: Cross multiply
    10,999x = 15,178.62 × 6,031
  4. Step 4: Simplify right side
    10,999x = 91,542,257.22
  5. Step 5: Solve for x
    x = 91,542,257.22/10,999
  6. Step 6: Final answer
    x = 8,322.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.