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Finding the Fourth Proportional to 6,811, 9,399 and 3,827.16

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Solution

The fourth proportional to 6,811, 9,399 and 3,827.16 is: 5,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811 : 9,399 = 3,827.16 : x
  2. Step 2: Convert to fraction form
    6,811/9,399 = 3,827.16/x
  3. Step 3: Cross multiply
    6,811x = 9,399 × 3,827.16
  4. Step 4: Simplify right side
    6,811x = 35,971,476.84
  5. Step 5: Solve for x
    x = 35,971,476.84/6,811
  6. Step 6: Final answer
    x = 5,281.38

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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.