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Finding the Fourth Proportional to 7,833.43, 11,722.07 and 6,782.86

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Solution

The fourth proportional to 7,833.43, 11,722.07 and 6,782.86 is: 10,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.43 : 11,722.07 = 6,782.86 : x
  2. Step 2: Convert to fraction form
    7,833.43/11,722.07 = 6,782.86/x
  3. Step 3: Cross multiply
    7,833.43x = 11,722.07 × 6,782.86
  4. Step 4: Simplify right side
    7,833.43x = 79,509,153.18
  5. Step 5: Solve for x
    x = 79,509,153.18/7,833.43
  6. Step 6: Final answer
    x = 10,149.99

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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.