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Finding the Fourth Proportional to 17,667, 26,512.65 and 7,278.75

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Solution

The fourth proportional to 17,667, 26,512.65 and 7,278.75 is: 10,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667 : 26,512.65 = 7,278.75 : x
  2. Step 2: Convert to fraction form
    17,667/26,512.65 = 7,278.75/x
  3. Step 3: Cross multiply
    17,667x = 26,512.65 × 7,278.75
  4. Step 4: Simplify right side
    17,667x = 192,978,951.19
  5. Step 5: Solve for x
    x = 192,978,951.19/17,667
  6. Step 6: Final answer
    x = 10,923.13

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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.