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Finding the Fourth Proportional to 12,285, 18,427.50 and 4,077

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Solution

The fourth proportional to 12,285, 18,427.50 and 4,077 is: 6,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285 : 18,427.50 = 4,077 : x
  2. Step 2: Convert to fraction form
    12,285/18,427.50 = 4,077/x
  3. Step 3: Cross multiply
    12,285x = 18,427.50 × 4,077
  4. Step 4: Simplify right side
    12,285x = 75,128,917.50
  5. Step 5: Solve for x
    x = 75,128,917.50/12,285
  6. Step 6: Final answer
    x = 6,115.50

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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.