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Finding the Fourth Proportional to 8,174.80, 11,255.78 and 6,845.60

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Solution

The fourth proportional to 8,174.80, 11,255.78 and 6,845.60 is: 9,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.80 : 11,255.78 = 6,845.60 : x
  2. Step 2: Convert to fraction form
    8,174.80/11,255.78 = 6,845.60/x
  3. Step 3: Cross multiply
    8,174.80x = 11,255.78 × 6,845.60
  4. Step 4: Simplify right side
    8,174.80x = 77,052,567.57
  5. Step 5: Solve for x
    x = 77,052,567.57/8,174.80
  6. Step 6: Final answer
    x = 9,425.62

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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.