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Finding the Fourth Proportional to 6,936.91, 9,571.69 and 4,102.87

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Solution

The fourth proportional to 6,936.91, 9,571.69 and 4,102.87 is: 5,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.91 : 9,571.69 = 4,102.87 : x
  2. Step 2: Convert to fraction form
    6,936.91/9,571.69 = 4,102.87/x
  3. Step 3: Cross multiply
    6,936.91x = 9,571.69 × 4,102.87
  4. Step 4: Simplify right side
    6,936.91x = 39,271,375.82
  5. Step 5: Solve for x
    x = 39,271,375.82/6,936.91
  6. Step 6: Final answer
    x = 5,661.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.