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Finding the Fourth Proportional to 8,389.54, 12,584.22 and 3,195.46

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Solution

The fourth proportional to 8,389.54, 12,584.22 and 3,195.46 is: 4,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.54 : 12,584.22 = 3,195.46 : x
  2. Step 2: Convert to fraction form
    8,389.54/12,584.22 = 3,195.46/x
  3. Step 3: Cross multiply
    8,389.54x = 12,584.22 × 3,195.46
  4. Step 4: Simplify right side
    8,389.54x = 40,212,371.64
  5. Step 5: Solve for x
    x = 40,212,371.64/8,389.54
  6. Step 6: Final answer
    x = 4,793.16

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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.