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Finding the Fourth Proportional to 19,837, 27,375.06 and 11,005

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Solution

The fourth proportional to 19,837, 27,375.06 and 11,005 is: 15,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,837 : 27,375.06 = 11,005 : x
  2. Step 2: Convert to fraction form
    19,837/27,375.06 = 11,005/x
  3. Step 3: Cross multiply
    19,837x = 27,375.06 × 11,005
  4. Step 4: Simplify right side
    19,837x = 301,262,535.30
  5. Step 5: Solve for x
    x = 301,262,535.30/19,837
  6. Step 6: Final answer
    x = 15,186.90

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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.