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Finding the Fourth Proportional to 7,911.72, 11,835.99 and 6,827.94

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Solution

The fourth proportional to 7,911.72, 11,835.99 and 6,827.94 is: 10,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.72 : 11,835.99 = 6,827.94 : x
  2. Step 2: Convert to fraction form
    7,911.72/11,835.99 = 6,827.94/x
  3. Step 3: Cross multiply
    7,911.72x = 11,835.99 × 6,827.94
  4. Step 4: Simplify right side
    7,911.72x = 80,815,429.56
  5. Step 5: Solve for x
    x = 80,815,429.56/7,911.72
  6. Step 6: Final answer
    x = 10,214.65

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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.