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Finding the Fourth Proportional to 12,125, 18,187.52 and 3,359.94

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Solution

The fourth proportional to 12,125, 18,187.52 and 3,359.94 is: 5,039.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125 : 18,187.52 = 3,359.94 : x
  2. Step 2: Convert to fraction form
    12,125/18,187.52 = 3,359.94/x
  3. Step 3: Cross multiply
    12,125x = 18,187.52 × 3,359.94
  4. Step 4: Simplify right side
    12,125x = 61,108,975.95
  5. Step 5: Solve for x
    x = 61,108,975.95/12,125
  6. Step 6: Final answer
    x = 5,039.92

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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.