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Finding the Fourth Proportional to 11,692, 16,134.96 and 6,724.32

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Solution

The fourth proportional to 11,692, 16,134.96 and 6,724.32 is: 9,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692 : 16,134.96 = 6,724.32 : x
  2. Step 2: Convert to fraction form
    11,692/16,134.96 = 6,724.32/x
  3. Step 3: Cross multiply
    11,692x = 16,134.96 × 6,724.32
  4. Step 4: Simplify right side
    11,692x = 108,496,634.23
  5. Step 5: Solve for x
    x = 108,496,634.23/11,692
  6. Step 6: Final answer
    x = 9,279.56

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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.