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Finding the Fourth Proportional to 20,668.33, 30,984.96 and 8,197.15

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Solution

The fourth proportional to 20,668.33, 30,984.96 and 8,197.15 is: 12,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.33 : 30,984.96 = 8,197.15 : x
  2. Step 2: Convert to fraction form
    20,668.33/30,984.96 = 8,197.15/x
  3. Step 3: Cross multiply
    20,668.33x = 30,984.96 × 8,197.15
  4. Step 4: Simplify right side
    20,668.33x = 253,988,364.86
  5. Step 5: Solve for x
    x = 253,988,364.86/20,668.33
  6. Step 6: Final answer
    x = 12,288.77

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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.