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Finding the Fourth Proportional to 20,468.46, 30,704.11 and 7,984.34

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Solution

The fourth proportional to 20,468.46, 30,704.11 and 7,984.34 is: 11,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.46 : 30,704.11 = 7,984.34 : x
  2. Step 2: Convert to fraction form
    20,468.46/30,704.11 = 7,984.34/x
  3. Step 3: Cross multiply
    20,468.46x = 30,704.11 × 7,984.34
  4. Step 4: Simplify right side
    20,468.46x = 245,152,053.64
  5. Step 5: Solve for x
    x = 245,152,053.64/20,468.46
  6. Step 6: Final answer
    x = 11,977.06

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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.