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Finding the Fourth Proportional to 25,086, 34,618.68 and 13,908

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Solution

The fourth proportional to 25,086, 34,618.68 and 13,908 is: 19,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,086 : 34,618.68 = 13,908 : x
  2. Step 2: Convert to fraction form
    25,086/34,618.68 = 13,908/x
  3. Step 3: Cross multiply
    25,086x = 34,618.68 × 13,908
  4. Step 4: Simplify right side
    25,086x = 481,476,601.44
  5. Step 5: Solve for x
    x = 481,476,601.44/25,086
  6. Step 6: Final answer
    x = 19,193.04

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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.