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Finding the Fourth Proportional to 12,375.78, 18,558 and 6,827.28

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Solution

The fourth proportional to 12,375.78, 18,558 and 6,827.28 is: 10,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.78 : 18,558 = 6,827.28 : x
  2. Step 2: Convert to fraction form
    12,375.78/18,558 = 6,827.28/x
  3. Step 3: Cross multiply
    12,375.78x = 18,558 × 6,827.28
  4. Step 4: Simplify right side
    12,375.78x = 126,700,662.24
  5. Step 5: Solve for x
    x = 126,700,662.24/12,375.78
  6. Step 6: Final answer
    x = 10,237.79

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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.