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Finding the Fourth Proportional to 7,896.69, 11,838.79 and 2,965.78

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Solution

The fourth proportional to 7,896.69, 11,838.79 and 2,965.78 is: 4,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.69 : 11,838.79 = 2,965.78 : x
  2. Step 2: Convert to fraction form
    7,896.69/11,838.79 = 2,965.78/x
  3. Step 3: Cross multiply
    7,896.69x = 11,838.79 × 2,965.78
  4. Step 4: Simplify right side
    7,896.69x = 35,111,265.11
  5. Step 5: Solve for x
    x = 35,111,265.11/7,896.69
  6. Step 6: Final answer
    x = 4,446.33

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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.