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Finding the Fourth Proportional to 12,027, 18,040.77 and 4,129.50

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Solution

The fourth proportional to 12,027, 18,040.77 and 4,129.50 is: 6,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027 : 18,040.77 = 4,129.50 : x
  2. Step 2: Convert to fraction form
    12,027/18,040.77 = 4,129.50/x
  3. Step 3: Cross multiply
    12,027x = 18,040.77 × 4,129.50
  4. Step 4: Simplify right side
    12,027x = 74,499,359.72
  5. Step 5: Solve for x
    x = 74,499,359.72/12,027
  6. Step 6: Final answer
    x = 6,194.34

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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.