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Finding the Fourth Proportional to 8,216.50, 12,322.14 and 2,668.56

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Solution

The fourth proportional to 8,216.50, 12,322.14 and 2,668.56 is: 4,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.50 : 12,322.14 = 2,668.56 : x
  2. Step 2: Convert to fraction form
    8,216.50/12,322.14 = 2,668.56/x
  3. Step 3: Cross multiply
    8,216.50x = 12,322.14 × 2,668.56
  4. Step 4: Simplify right side
    8,216.50x = 32,882,369.92
  5. Step 5: Solve for x
    x = 32,882,369.92/8,216.50
  6. Step 6: Final answer
    x = 4,001.99

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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.