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Finding the Fourth Proportional to 12,388.78, 18,551.43 and 6,835.96

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Solution

The fourth proportional to 12,388.78, 18,551.43 and 6,835.96 is: 10,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.78 : 18,551.43 = 6,835.96 : x
  2. Step 2: Convert to fraction form
    12,388.78/18,551.43 = 6,835.96/x
  3. Step 3: Cross multiply
    12,388.78x = 18,551.43 × 6,835.96
  4. Step 4: Simplify right side
    12,388.78x = 126,816,787.04
  5. Step 5: Solve for x
    x = 126,816,787.04/12,388.78
  6. Step 6: Final answer
    x = 10,236.42

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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.