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Finding the Fourth Proportional to 8,351.78, 12,516.86 and 7,469.42

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Solution

The fourth proportional to 8,351.78, 12,516.86 and 7,469.42 is: 11,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.78 : 12,516.86 = 7,469.42 : x
  2. Step 2: Convert to fraction form
    8,351.78/12,516.86 = 7,469.42/x
  3. Step 3: Cross multiply
    8,351.78x = 12,516.86 × 7,469.42
  4. Step 4: Simplify right side
    8,351.78x = 93,493,640.51
  5. Step 5: Solve for x
    x = 93,493,640.51/8,351.78
  6. Step 6: Final answer
    x = 11,194.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.