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Finding the Fourth Proportional to 20,628.25, 30,942.98 and 5,045.88

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Solution

The fourth proportional to 20,628.25, 30,942.98 and 5,045.88 is: 7,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,628.25 : 30,942.98 = 5,045.88 : x
  2. Step 2: Convert to fraction form
    20,628.25/30,942.98 = 5,045.88/x
  3. Step 3: Cross multiply
    20,628.25x = 30,942.98 × 5,045.88
  4. Step 4: Simplify right side
    20,628.25x = 156,134,563.92
  5. Step 5: Solve for x
    x = 156,134,563.92/20,628.25
  6. Step 6: Final answer
    x = 7,568.97

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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.