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Finding the Fourth Proportional to 7,953.92, 11,936.28 and 2,759.78

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Solution

The fourth proportional to 7,953.92, 11,936.28 and 2,759.78 is: 4,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.92 : 11,936.28 = 2,759.78 : x
  2. Step 2: Convert to fraction form
    7,953.92/11,936.28 = 2,759.78/x
  3. Step 3: Cross multiply
    7,953.92x = 11,936.28 × 2,759.78
  4. Step 4: Simplify right side
    7,953.92x = 32,941,506.82
  5. Step 5: Solve for x
    x = 32,941,506.82/7,953.92
  6. Step 6: Final answer
    x = 4,141.54

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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.