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Finding the Fourth Proportional to 7,963.92, 10,991.43 and 6,072.30

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Solution

The fourth proportional to 7,963.92, 10,991.43 and 6,072.30 is: 8,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.92 : 10,991.43 = 6,072.30 : x
  2. Step 2: Convert to fraction form
    7,963.92/10,991.43 = 6,072.30/x
  3. Step 3: Cross multiply
    7,963.92x = 10,991.43 × 6,072.30
  4. Step 4: Simplify right side
    7,963.92x = 66,743,260.39
  5. Step 5: Solve for x
    x = 66,743,260.39/7,963.92
  6. Step 6: Final answer
    x = 8,380.70

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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.