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Finding the Fourth Proportional to 36,830, 55,245 and 12,206

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Solution

The fourth proportional to 36,830, 55,245 and 12,206 is: 18,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,830 : 55,245 = 12,206 : x
  2. Step 2: Convert to fraction form
    36,830/55,245 = 12,206/x
  3. Step 3: Cross multiply
    36,830x = 55,245 × 12,206
  4. Step 4: Simplify right side
    36,830x = 674,320,470
  5. Step 5: Solve for x
    x = 674,320,470/36,830
  6. Step 6: Final answer
    x = 18,309

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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.