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Finding the Fourth Proportional to 18,472.80, 27,712.80 and 7,942.80

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Solution

The fourth proportional to 18,472.80, 27,712.80 and 7,942.80 is: 11,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.80 : 27,712.80 = 7,942.80 : x
  2. Step 2: Convert to fraction form
    18,472.80/27,712.80 = 7,942.80/x
  3. Step 3: Cross multiply
    18,472.80x = 27,712.80 × 7,942.80
  4. Step 4: Simplify right side
    18,472.80x = 220,117,227.84
  5. Step 5: Solve for x
    x = 220,117,227.84/18,472.80
  6. Step 6: Final answer
    x = 11,915.75

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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.