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Finding the Fourth Proportional to 7,896.81, 11,841.25 and 2,629.96

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Solution

The fourth proportional to 7,896.81, 11,841.25 and 2,629.96 is: 3,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.81 : 11,841.25 = 2,629.96 : x
  2. Step 2: Convert to fraction form
    7,896.81/11,841.25 = 2,629.96/x
  3. Step 3: Cross multiply
    7,896.81x = 11,841.25 × 2,629.96
  4. Step 4: Simplify right side
    7,896.81x = 31,142,013.85
  5. Step 5: Solve for x
    x = 31,142,013.85/7,896.81
  6. Step 6: Final answer
    x = 3,943.62

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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.