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Finding the Fourth Proportional to 8,164.60, 12,256 and 7,629.20

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Solution

The fourth proportional to 8,164.60, 12,256 and 7,629.20 is: 11,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.60 : 12,256 = 7,629.20 : x
  2. Step 2: Convert to fraction form
    8,164.60/12,256 = 7,629.20/x
  3. Step 3: Cross multiply
    8,164.60x = 12,256 × 7,629.20
  4. Step 4: Simplify right side
    8,164.60x = 93,503,475.20
  5. Step 5: Solve for x
    x = 93,503,475.20/8,164.60
  6. Step 6: Final answer
    x = 11,452.30

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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.