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Finding the Fourth Proportional to 19,828, 27,362.64 and 10,996

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Solution

The fourth proportional to 19,828, 27,362.64 and 10,996 is: 15,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828 : 27,362.64 = 10,996 : x
  2. Step 2: Convert to fraction form
    19,828/27,362.64 = 10,996/x
  3. Step 3: Cross multiply
    19,828x = 27,362.64 × 10,996
  4. Step 4: Simplify right side
    19,828x = 300,879,589.44
  5. Step 5: Solve for x
    x = 300,879,589.44/19,828
  6. Step 6: Final answer
    x = 15,174.48

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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.