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Finding the Fourth Proportional to 15,318, 22,976.82 and 7,936.92

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Solution

The fourth proportional to 15,318, 22,976.82 and 7,936.92 is: 11,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318 : 22,976.82 = 7,936.92 : x
  2. Step 2: Convert to fraction form
    15,318/22,976.82 = 7,936.92/x
  3. Step 3: Cross multiply
    15,318x = 22,976.82 × 7,936.92
  4. Step 4: Simplify right side
    15,318x = 182,365,182.19
  5. Step 5: Solve for x
    x = 182,365,182.19/15,318
  6. Step 6: Final answer
    x = 11,905.29

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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.