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Finding the Fourth Proportional to 25,960.98, 38,942.29 and 8,191.81

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Solution

The fourth proportional to 25,960.98, 38,942.29 and 8,191.81 is: 12,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960.98 : 38,942.29 = 8,191.81 : x
  2. Step 2: Convert to fraction form
    25,960.98/38,942.29 = 8,191.81/x
  3. Step 3: Cross multiply
    25,960.98x = 38,942.29 × 8,191.81
  4. Step 4: Simplify right side
    25,960.98x = 319,007,813.08
  5. Step 5: Solve for x
    x = 319,007,813.08/25,960.98
  6. Step 6: Final answer
    x = 12,287.97

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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.