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Finding the Fourth Proportional to 5,390.44, 8,072.70 and 3,074.92

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Solution

The fourth proportional to 5,390.44, 8,072.70 and 3,074.92 is: 4,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.44 : 8,072.70 = 3,074.92 : x
  2. Step 2: Convert to fraction form
    5,390.44/8,072.70 = 3,074.92/x
  3. Step 3: Cross multiply
    5,390.44x = 8,072.70 × 3,074.92
  4. Step 4: Simplify right side
    5,390.44x = 24,822,906.68
  5. Step 5: Solve for x
    x = 24,822,906.68/5,390.44
  6. Step 6: Final answer
    x = 4,604.99

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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.