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Finding the Fourth Proportional to 12,678, 18,996.41 and 7,732.62

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Solution

The fourth proportional to 12,678, 18,996.41 and 7,732.62 is: 11,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678 : 18,996.41 = 7,732.62 : x
  2. Step 2: Convert to fraction form
    12,678/18,996.41 = 7,732.62/x
  3. Step 3: Cross multiply
    12,678x = 18,996.41 × 7,732.62
  4. Step 4: Simplify right side
    12,678x = 146,891,981.23
  5. Step 5: Solve for x
    x = 146,891,981.23/12,678
  6. Step 6: Final answer
    x = 11,586.37

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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.