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Finding the Fourth Proportional to 36,728, 50,684.64 and 19,961

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Solution

The fourth proportional to 36,728, 50,684.64 and 19,961 is: 27,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,728 : 50,684.64 = 19,961 : x
  2. Step 2: Convert to fraction form
    36,728/50,684.64 = 19,961/x
  3. Step 3: Cross multiply
    36,728x = 50,684.64 × 19,961
  4. Step 4: Simplify right side
    36,728x = 1,011,716,099.04
  5. Step 5: Solve for x
    x = 1,011,716,099.04/36,728
  6. Step 6: Final answer
    x = 27,546.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.