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Finding the Fourth Proportional to 7,963.26, 11,920.23 and 6,782.28

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Solution

The fourth proportional to 7,963.26, 11,920.23 and 6,782.28 is: 10,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.26 : 11,920.23 = 6,782.28 : x
  2. Step 2: Convert to fraction form
    7,963.26/11,920.23 = 6,782.28/x
  3. Step 3: Cross multiply
    7,963.26x = 11,920.23 × 6,782.28
  4. Step 4: Simplify right side
    7,963.26x = 80,846,337.52
  5. Step 5: Solve for x
    x = 80,846,337.52/7,963.26
  6. Step 6: Final answer
    x = 10,152.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.