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Finding the Fourth Proportional to 8,396, 12,585.78 and 3,469.08

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Solution

The fourth proportional to 8,396, 12,585.78 and 3,469.08 is: 5,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 12,585.78 = 3,469.08 : x
  2. Step 2: Convert to fraction form
    8,396/12,585.78 = 3,469.08/x
  3. Step 3: Cross multiply
    8,396x = 12,585.78 × 3,469.08
  4. Step 4: Simplify right side
    8,396x = 43,661,077.68
  5. Step 5: Solve for x
    x = 43,661,077.68/8,396
  6. Step 6: Final answer
    x = 5,200.22

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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.