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Finding the Fourth Proportional to 5,194.94, 7,787.78 and 1,907.27

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Solution

The fourth proportional to 5,194.94, 7,787.78 and 1,907.27 is: 2,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.94 : 7,787.78 = 1,907.27 : x
  2. Step 2: Convert to fraction form
    5,194.94/7,787.78 = 1,907.27/x
  3. Step 3: Cross multiply
    5,194.94x = 7,787.78 × 1,907.27
  4. Step 4: Simplify right side
    5,194.94x = 14,853,399.16
  5. Step 5: Solve for x
    x = 14,853,399.16/5,194.94
  6. Step 6: Final answer
    x = 2,859.21

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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.