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Finding the Fourth Proportional to 7,874.65, 11,811.89 and 3,193.54

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Solution

The fourth proportional to 7,874.65, 11,811.89 and 3,193.54 is: 4,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.65 : 11,811.89 = 3,193.54 : x
  2. Step 2: Convert to fraction form
    7,874.65/11,811.89 = 3,193.54/x
  3. Step 3: Cross multiply
    7,874.65x = 11,811.89 × 3,193.54
  4. Step 4: Simplify right side
    7,874.65x = 37,721,788.09
  5. Step 5: Solve for x
    x = 37,721,788.09/7,874.65
  6. Step 6: Final answer
    x = 4,790.28

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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.