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Finding the Fourth Proportional to 18,477, 27,717.90 and 6,790.36

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Solution

The fourth proportional to 18,477, 27,717.90 and 6,790.36 is: 10,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477 : 27,717.90 = 6,790.36 : x
  2. Step 2: Convert to fraction form
    18,477/27,717.90 = 6,790.36/x
  3. Step 3: Cross multiply
    18,477x = 27,717.90 × 6,790.36
  4. Step 4: Simplify right side
    18,477x = 188,214,519.44
  5. Step 5: Solve for x
    x = 188,214,519.44/18,477
  6. Step 6: Final answer
    x = 10,186.42

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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.