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Finding the Fourth Proportional to 36,494, 54,741 and 11,870

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Solution

The fourth proportional to 36,494, 54,741 and 11,870 is: 17,805

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,494 : 54,741 = 11,870 : x
  2. Step 2: Convert to fraction form
    36,494/54,741 = 11,870/x
  3. Step 3: Cross multiply
    36,494x = 54,741 × 11,870
  4. Step 4: Simplify right side
    36,494x = 649,775,670
  5. Step 5: Solve for x
    x = 649,775,670/36,494
  6. Step 6: Final answer
    x = 17,805

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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.