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Finding the Fourth Proportional to 8,195.60, 12,285 and 3,258.56

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Solution

The fourth proportional to 8,195.60, 12,285 and 3,258.56 is: 4,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.60 : 12,285 = 3,258.56 : x
  2. Step 2: Convert to fraction form
    8,195.60/12,285 = 3,258.56/x
  3. Step 3: Cross multiply
    8,195.60x = 12,285 × 3,258.56
  4. Step 4: Simplify right side
    8,195.60x = 40,031,409.60
  5. Step 5: Solve for x
    x = 40,031,409.60/8,195.60
  6. Step 6: Final answer
    x = 4,884.50

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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.