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Finding the Fourth Proportional to 11,936.97, 16,468.11 and 7,687.31

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Solution

The fourth proportional to 11,936.97, 16,468.11 and 7,687.31 is: 10,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.97 : 16,468.11 = 7,687.31 : x
  2. Step 2: Convert to fraction form
    11,936.97/16,468.11 = 7,687.31/x
  3. Step 3: Cross multiply
    11,936.97x = 16,468.11 × 7,687.31
  4. Step 4: Simplify right side
    11,936.97x = 126,595,384.34
  5. Step 5: Solve for x
    x = 126,595,384.34/11,936.97
  6. Step 6: Final answer
    x = 10,605.32

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1.5x scale

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.