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Finding the Fourth Proportional to 12,135.52, 18,203.24 and 3,927.52

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Solution

The fourth proportional to 12,135.52, 18,203.24 and 3,927.52 is: 5,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.52 : 18,203.24 = 3,927.52 : x
  2. Step 2: Convert to fraction form
    12,135.52/18,203.24 = 3,927.52/x
  3. Step 3: Cross multiply
    12,135.52x = 18,203.24 × 3,927.52
  4. Step 4: Simplify right side
    12,135.52x = 71,493,589.16
  5. Step 5: Solve for x
    x = 71,493,589.16/12,135.52
  6. Step 6: Final answer
    x = 5,891.27

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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.