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Finding the Fourth Proportional to 12,149.91, 18,216.95 and 3,827.43

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Solution

The fourth proportional to 12,149.91, 18,216.95 and 3,827.43 is: 5,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.91 : 18,216.95 = 3,827.43 : x
  2. Step 2: Convert to fraction form
    12,149.91/18,216.95 = 3,827.43/x
  3. Step 3: Cross multiply
    12,149.91x = 18,216.95 × 3,827.43
  4. Step 4: Simplify right side
    12,149.91x = 69,724,081.80
  5. Step 5: Solve for x
    x = 69,724,081.80/12,149.91
  6. Step 6: Final answer
    x = 5,738.65

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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.