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Finding the Fourth Proportional to 25,686, 38,529 and 7,218

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Solution

The fourth proportional to 25,686, 38,529 and 7,218 is: 10,827

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686 : 38,529 = 7,218 : x
  2. Step 2: Convert to fraction form
    25,686/38,529 = 7,218/x
  3. Step 3: Cross multiply
    25,686x = 38,529 × 7,218
  4. Step 4: Simplify right side
    25,686x = 278,102,322
  5. Step 5: Solve for x
    x = 278,102,322/25,686
  6. Step 6: Final answer
    x = 10,827

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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.