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Finding the Fourth Proportional to 8,134.76, 12,191.19 and 3,203.07

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Solution

The fourth proportional to 8,134.76, 12,191.19 and 3,203.07 is: 4,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.76 : 12,191.19 = 3,203.07 : x
  2. Step 2: Convert to fraction form
    8,134.76/12,191.19 = 3,203.07/x
  3. Step 3: Cross multiply
    8,134.76x = 12,191.19 × 3,203.07
  4. Step 4: Simplify right side
    8,134.76x = 39,049,234.95
  5. Step 5: Solve for x
    x = 39,049,234.95/8,134.76
  6. Step 6: Final answer
    x = 4,800.30

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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.