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Finding the Fourth Proportional to 20,400.86, 30,604.03 and 6,361.84

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Solution

The fourth proportional to 20,400.86, 30,604.03 and 6,361.84 is: 9,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.86 : 30,604.03 = 6,361.84 : x
  2. Step 2: Convert to fraction form
    20,400.86/30,604.03 = 6,361.84/x
  3. Step 3: Cross multiply
    20,400.86x = 30,604.03 × 6,361.84
  4. Step 4: Simplify right side
    20,400.86x = 194,697,964.57
  5. Step 5: Solve for x
    x = 194,697,964.57/20,400.86
  6. Step 6: Final answer
    x = 9,543.61

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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.