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Finding the Fourth Proportional to 8,667, 11,962.62 and 4,943.16

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Solution

The fourth proportional to 8,667, 11,962.62 and 4,943.16 is: 6,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667 : 11,962.62 = 4,943.16 : x
  2. Step 2: Convert to fraction form
    8,667/11,962.62 = 4,943.16/x
  3. Step 3: Cross multiply
    8,667x = 11,962.62 × 4,943.16
  4. Step 4: Simplify right side
    8,667x = 59,133,144.68
  5. Step 5: Solve for x
    x = 59,133,144.68/8,667
  6. Step 6: Final answer
    x = 6,822.79

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1.5x scale

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.