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Finding the Fourth Proportional to 7,893.67, 11,815.83 and 5,816.02

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Solution

The fourth proportional to 7,893.67, 11,815.83 and 5,816.02 is: 8,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.67 : 11,815.83 = 5,816.02 : x
  2. Step 2: Convert to fraction form
    7,893.67/11,815.83 = 5,816.02/x
  3. Step 3: Cross multiply
    7,893.67x = 11,815.83 × 5,816.02
  4. Step 4: Simplify right side
    7,893.67x = 68,721,103.60
  5. Step 5: Solve for x
    x = 68,721,103.60/7,893.67
  6. Step 6: Final answer
    x = 8,705.85

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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.