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Finding the Fourth Proportional to 8,172.78, 11,293.78 and 6,680.16

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Solution

The fourth proportional to 8,172.78, 11,293.78 and 6,680.16 is: 9,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.78 : 11,293.78 = 6,680.16 : x
  2. Step 2: Convert to fraction form
    8,172.78/11,293.78 = 6,680.16/x
  3. Step 3: Cross multiply
    8,172.78x = 11,293.78 × 6,680.16
  4. Step 4: Simplify right side
    8,172.78x = 75,444,257.40
  5. Step 5: Solve for x
    x = 75,444,257.40/8,172.78
  6. Step 6: Final answer
    x = 9,231.16

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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.