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Finding the Fourth Proportional to 36,838, 55,257.16 and 12,214

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Solution

The fourth proportional to 36,838, 55,257.16 and 12,214 is: 18,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838 : 55,257.16 = 12,214 : x
  2. Step 2: Convert to fraction form
    36,838/55,257.16 = 12,214/x
  3. Step 3: Cross multiply
    36,838x = 55,257.16 × 12,214
  4. Step 4: Simplify right side
    36,838x = 674,910,952.24
  5. Step 5: Solve for x
    x = 674,910,952.24/36,838
  6. Step 6: Final answer
    x = 18,321.05

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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.