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Finding the Fourth Proportional to 38,654, 57,981 and 10,952

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Solution

The fourth proportional to 38,654, 57,981 and 10,952 is: 16,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,654 : 57,981 = 10,952 : x
  2. Step 2: Convert to fraction form
    38,654/57,981 = 10,952/x
  3. Step 3: Cross multiply
    38,654x = 57,981 × 10,952
  4. Step 4: Simplify right side
    38,654x = 635,007,912
  5. Step 5: Solve for x
    x = 635,007,912/38,654
  6. Step 6: Final answer
    x = 16,428

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.