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Finding the Fourth Proportional to 8,206.99, 12,311.17 and 3,527.12

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Solution

The fourth proportional to 8,206.99, 12,311.17 and 3,527.12 is: 5,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.99 : 12,311.17 = 3,527.12 : x
  2. Step 2: Convert to fraction form
    8,206.99/12,311.17 = 3,527.12/x
  3. Step 3: Cross multiply
    8,206.99x = 12,311.17 × 3,527.12
  4. Step 4: Simplify right side
    8,206.99x = 43,422,995.89
  5. Step 5: Solve for x
    x = 43,422,995.89/8,206.99
  6. Step 6: Final answer
    x = 5,290.98

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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.