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Finding the Fourth Proportional to 7,863.90, 11,787.92 and 3,909.07

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Solution

The fourth proportional to 7,863.90, 11,787.92 and 3,909.07 is: 5,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.90 : 11,787.92 = 3,909.07 : x
  2. Step 2: Convert to fraction form
    7,863.90/11,787.92 = 3,909.07/x
  3. Step 3: Cross multiply
    7,863.90x = 11,787.92 × 3,909.07
  4. Step 4: Simplify right side
    7,863.90x = 46,079,804.43
  5. Step 5: Solve for x
    x = 46,079,804.43/7,863.90
  6. Step 6: Final answer
    x = 5,859.66

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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.