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Finding the Fourth Proportional to 8,667, 11,960.49 and 4,688.13

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Solution

The fourth proportional to 8,667, 11,960.49 and 4,688.13 is: 6,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667 : 11,960.49 = 4,688.13 : x
  2. Step 2: Convert to fraction form
    8,667/11,960.49 = 4,688.13/x
  3. Step 3: Cross multiply
    8,667x = 11,960.49 × 4,688.13
  4. Step 4: Simplify right side
    8,667x = 56,072,331.98
  5. Step 5: Solve for x
    x = 56,072,331.98/8,667
  6. Step 6: Final answer
    x = 6,469.64

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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.