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Finding the Fourth Proportional to 37,667, 51,981 and 20,900

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Solution

The fourth proportional to 37,667, 51,981 and 20,900 is: 28,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,667 : 51,981 = 20,900 : x
  2. Step 2: Convert to fraction form
    37,667/51,981 = 20,900/x
  3. Step 3: Cross multiply
    37,667x = 51,981 × 20,900
  4. Step 4: Simplify right side
    37,667x = 1,086,402,900
  5. Step 5: Solve for x
    x = 1,086,402,900/37,667
  6. Step 6: Final answer
    x = 28,842.30

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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.