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Finding the Fourth Proportional to 11,940.82, 16,478 and 6,635.50

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Solution

The fourth proportional to 11,940.82, 16,478 and 6,635.50 is: 9,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.82 : 16,478 = 6,635.50 : x
  2. Step 2: Convert to fraction form
    11,940.82/16,478 = 6,635.50/x
  3. Step 3: Cross multiply
    11,940.82x = 16,478 × 6,635.50
  4. Step 4: Simplify right side
    11,940.82x = 109,339,769
  5. Step 5: Solve for x
    x = 109,339,769/11,940.82
  6. Step 6: Final answer
    x = 9,156.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.