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Finding the Fourth Proportional to 36,858, 55,287 and 12,234

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Solution

The fourth proportional to 36,858, 55,287 and 12,234 is: 18,351

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,858 : 55,287 = 12,234 : x
  2. Step 2: Convert to fraction form
    36,858/55,287 = 12,234/x
  3. Step 3: Cross multiply
    36,858x = 55,287 × 12,234
  4. Step 4: Simplify right side
    36,858x = 676,381,158
  5. Step 5: Solve for x
    x = 676,381,158/36,858
  6. Step 6: Final answer
    x = 18,351

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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.