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Finding the Fourth Proportional to 36,465, 50,321.75 and 19,698

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Solution

The fourth proportional to 36,465, 50,321.75 and 19,698 is: 27,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,465 : 50,321.75 = 19,698 : x
  2. Step 2: Convert to fraction form
    36,465/50,321.75 = 19,698/x
  3. Step 3: Cross multiply
    36,465x = 50,321.75 × 19,698
  4. Step 4: Simplify right side
    36,465x = 991,237,733.01
  5. Step 5: Solve for x
    x = 991,237,733.01/36,465
  6. Step 6: Final answer
    x = 27,183.26

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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.