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Finding the Fourth Proportional to 5,194.91, 7,787.74 and 1,907.24

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Solution

The fourth proportional to 5,194.91, 7,787.74 and 1,907.24 is: 2,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.91 : 7,787.74 = 1,907.24 : x
  2. Step 2: Convert to fraction form
    5,194.91/7,787.74 = 1,907.24/x
  3. Step 3: Cross multiply
    5,194.91x = 7,787.74 × 1,907.24
  4. Step 4: Simplify right side
    5,194.91x = 14,853,089.24
  5. Step 5: Solve for x
    x = 14,853,089.24/5,194.91
  6. Step 6: Final answer
    x = 2,859.16

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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.