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Finding the Fourth Proportional to 33,986, 50,969.28 and 14,268.98

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Solution

The fourth proportional to 33,986, 50,969.28 and 14,268.98 is: 21,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,986 : 50,969.28 = 14,268.98 : x
  2. Step 2: Convert to fraction form
    33,986/50,969.28 = 14,268.98/x
  3. Step 3: Cross multiply
    33,986x = 50,969.28 × 14,268.98
  4. Step 4: Simplify right side
    33,986x = 727,279,636.93
  5. Step 5: Solve for x
    x = 727,279,636.93/33,986
  6. Step 6: Final answer
    x = 21,399.39

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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.