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Finding the Fourth Proportional to 6,827.94, 9,427.20 and 5,231.76

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Solution

The fourth proportional to 6,827.94, 9,427.20 and 5,231.76 is: 7,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.94 : 9,427.20 = 5,231.76 : x
  2. Step 2: Convert to fraction form
    6,827.94/9,427.20 = 5,231.76/x
  3. Step 3: Cross multiply
    6,827.94x = 9,427.20 × 5,231.76
  4. Step 4: Simplify right side
    6,827.94x = 49,320,847.87
  5. Step 5: Solve for x
    x = 49,320,847.87/6,827.94
  6. Step 6: Final answer
    x = 7,223.39

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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.