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Finding the Fourth Proportional to 19,839, 27,377.82 and 11,007

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Solution

The fourth proportional to 19,839, 27,377.82 and 11,007 is: 15,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839 : 27,377.82 = 11,007 : x
  2. Step 2: Convert to fraction form
    19,839/27,377.82 = 11,007/x
  3. Step 3: Cross multiply
    19,839x = 27,377.82 × 11,007
  4. Step 4: Simplify right side
    19,839x = 301,347,664.74
  5. Step 5: Solve for x
    x = 301,347,664.74/19,839
  6. Step 6: Final answer
    x = 15,189.66

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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.