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Finding the Fourth Proportional to 19,644.32, 27,109.11 and 10,691.84

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Solution

The fourth proportional to 19,644.32, 27,109.11 and 10,691.84 is: 14,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.32 : 27,109.11 = 10,691.84 : x
  2. Step 2: Convert to fraction form
    19,644.32/27,109.11 = 10,691.84/x
  3. Step 3: Cross multiply
    19,644.32x = 27,109.11 × 10,691.84
  4. Step 4: Simplify right side
    19,644.32x = 289,846,131.12
  5. Step 5: Solve for x
    x = 289,846,131.12/19,644.32
  6. Step 6: Final answer
    x = 14,754.71

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