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Finding the Fourth Proportional to 20,648, 30,975.84 and 9,704

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Solution

The fourth proportional to 20,648, 30,975.84 and 9,704 is: 14,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648 : 30,975.84 = 9,704 : x
  2. Step 2: Convert to fraction form
    20,648/30,975.84 = 9,704/x
  3. Step 3: Cross multiply
    20,648x = 30,975.84 × 9,704
  4. Step 4: Simplify right side
    20,648x = 300,589,551.36
  5. Step 5: Solve for x
    x = 300,589,551.36/20,648
  6. Step 6: Final answer
    x = 14,557.80

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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.