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Finding the Fourth Proportional to 20,057.86, 30,086.71 and 8,217.13

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Solution

The fourth proportional to 20,057.86, 30,086.71 and 8,217.13 is: 12,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.86 : 30,086.71 = 8,217.13 : x
  2. Step 2: Convert to fraction form
    20,057.86/30,086.71 = 8,217.13/x
  3. Step 3: Cross multiply
    20,057.86x = 30,086.71 × 8,217.13
  4. Step 4: Simplify right side
    20,057.86x = 247,226,407.34
  5. Step 5: Solve for x
    x = 247,226,407.34/20,057.86
  6. Step 6: Final answer
    x = 12,325.66

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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.