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Finding the Fourth Proportional to 36,317, 54,474 and 12,629.91

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Solution

The fourth proportional to 36,317, 54,474 and 12,629.91 is: 18,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,317 : 54,474 = 12,629.91 : x
  2. Step 2: Convert to fraction form
    36,317/54,474 = 12,629.91/x
  3. Step 3: Cross multiply
    36,317x = 54,474 × 12,629.91
  4. Step 4: Simplify right side
    36,317x = 688,001,717.34
  5. Step 5: Solve for x
    x = 688,001,717.34/36,317
  6. Step 6: Final answer
    x = 18,944.34

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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.