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Finding the Fourth Proportional to 19,847, 27,388.86 and 11,463.50

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Solution

The fourth proportional to 19,847, 27,388.86 and 11,463.50 is: 15,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847 : 27,388.86 = 11,463.50 : x
  2. Step 2: Convert to fraction form
    19,847/27,388.86 = 11,463.50/x
  3. Step 3: Cross multiply
    19,847x = 27,388.86 × 11,463.50
  4. Step 4: Simplify right side
    19,847x = 313,972,196.61
  5. Step 5: Solve for x
    x = 313,972,196.61/19,847
  6. Step 6: Final answer
    x = 15,819.63

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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.