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Finding the Fourth Proportional to 25,965.36, 38,951.79 and 8,189.98

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Solution

The fourth proportional to 25,965.36, 38,951.79 and 8,189.98 is: 12,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965.36 : 38,951.79 = 8,189.98 : x
  2. Step 2: Convert to fraction form
    25,965.36/38,951.79 = 8,189.98/x
  3. Step 3: Cross multiply
    25,965.36x = 38,951.79 × 8,189.98
  4. Step 4: Simplify right side
    25,965.36x = 319,014,252.97
  5. Step 5: Solve for x
    x = 319,014,252.97/25,965.36
  6. Step 6: Final answer
    x = 12,286.15

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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.