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Finding the Fourth Proportional to 19,838, 27,376.44 and 11,006

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Solution

The fourth proportional to 19,838, 27,376.44 and 11,006 is: 15,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 27,376.44 = 11,006 : x
  2. Step 2: Convert to fraction form
    19,838/27,376.44 = 11,006/x
  3. Step 3: Cross multiply
    19,838x = 27,376.44 × 11,006
  4. Step 4: Simplify right side
    19,838x = 301,305,098.64
  5. Step 5: Solve for x
    x = 301,305,098.64/19,838
  6. Step 6: Final answer
    x = 15,188.28

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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.