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Finding the Fourth Proportional to 5,204.44, 7,809.74 and 1,919.82

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Solution

The fourth proportional to 5,204.44, 7,809.74 and 1,919.82 is: 2,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.44 : 7,809.74 = 1,919.82 : x
  2. Step 2: Convert to fraction form
    5,204.44/7,809.74 = 1,919.82/x
  3. Step 3: Cross multiply
    5,204.44x = 7,809.74 × 1,919.82
  4. Step 4: Simplify right side
    5,204.44x = 14,993,295.05
  5. Step 5: Solve for x
    x = 14,993,295.05/5,204.44
  6. Step 6: Final answer
    x = 2,880.87

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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.