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Finding the Fourth Proportional to 11,892, 17,837.99 and 3,126.90

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Solution

The fourth proportional to 11,892, 17,837.99 and 3,126.90 is: 4,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892 : 17,837.99 = 3,126.90 : x
  2. Step 2: Convert to fraction form
    11,892/17,837.99 = 3,126.90/x
  3. Step 3: Cross multiply
    11,892x = 17,837.99 × 3,126.90
  4. Step 4: Simplify right side
    11,892x = 55,777,610.93
  5. Step 5: Solve for x
    x = 55,777,610.93/11,892
  6. Step 6: Final answer
    x = 4,690.35

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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.