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Finding the Fourth Proportional to 19,910, 27,474 and 10,957.88

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Solution

The fourth proportional to 19,910, 27,474 and 10,957.88 is: 15,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,910 : 27,474 = 10,957.88 : x
  2. Step 2: Convert to fraction form
    19,910/27,474 = 10,957.88/x
  3. Step 3: Cross multiply
    19,910x = 27,474 × 10,957.88
  4. Step 4: Simplify right side
    19,910x = 301,056,795.12
  5. Step 5: Solve for x
    x = 301,056,795.12/19,910
  6. Step 6: Final answer
    x = 15,120.88

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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.