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Finding the Fourth Proportional to 22,667, 31,280.48 and 12,731

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Solution

The fourth proportional to 22,667, 31,280.48 and 12,731 is: 17,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667 : 31,280.48 = 12,731 : x
  2. Step 2: Convert to fraction form
    22,667/31,280.48 = 12,731/x
  3. Step 3: Cross multiply
    22,667x = 31,280.48 × 12,731
  4. Step 4: Simplify right side
    22,667x = 398,231,790.88
  5. Step 5: Solve for x
    x = 398,231,790.88/22,667
  6. Step 6: Final answer
    x = 17,568.79

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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.