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Finding the Fourth Proportional to 20,506.21, 30,763.41 and 6,468.41

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Solution

The fourth proportional to 20,506.21, 30,763.41 and 6,468.41 is: 9,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.21 : 30,763.41 = 6,468.41 : x
  2. Step 2: Convert to fraction form
    20,506.21/30,763.41 = 6,468.41/x
  3. Step 3: Cross multiply
    20,506.21x = 30,763.41 × 6,468.41
  4. Step 4: Simplify right side
    20,506.21x = 198,990,162.72
  5. Step 5: Solve for x
    x = 198,990,162.72/20,506.21
  6. Step 6: Final answer
    x = 9,703.90

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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.