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Finding the Fourth Proportional to 6,808.46, 9,396 and 3,975.78

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Solution

The fourth proportional to 6,808.46, 9,396 and 3,975.78 is: 5,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.46 : 9,396 = 3,975.78 : x
  2. Step 2: Convert to fraction form
    6,808.46/9,396 = 3,975.78/x
  3. Step 3: Cross multiply
    6,808.46x = 9,396 × 3,975.78
  4. Step 4: Simplify right side
    6,808.46x = 37,356,464.12
  5. Step 5: Solve for x
    x = 37,356,464.12/6,808.46
  6. Step 6: Final answer
    x = 5,486.78

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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.