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Finding the Fourth Proportional to 8,486.09, 12,729.12 and 4,786.64

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Solution

The fourth proportional to 8,486.09, 12,729.12 and 4,786.64 is: 7,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.09 : 12,729.12 = 4,786.64 : x
  2. Step 2: Convert to fraction form
    8,486.09/12,729.12 = 4,786.64/x
  3. Step 3: Cross multiply
    8,486.09x = 12,729.12 × 4,786.64
  4. Step 4: Simplify right side
    8,486.09x = 60,929,714.96
  5. Step 5: Solve for x
    x = 60,929,714.96/8,486.09
  6. Step 6: Final answer
    x = 7,179.95

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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.