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Finding the Fourth Proportional to 6,808.91, 9,396.54 and 3,978.08

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Solution

The fourth proportional to 6,808.91, 9,396.54 and 3,978.08 is: 5,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.91 : 9,396.54 = 3,978.08 : x
  2. Step 2: Convert to fraction form
    6,808.91/9,396.54 = 3,978.08/x
  3. Step 3: Cross multiply
    6,808.91x = 9,396.54 × 3,978.08
  4. Step 4: Simplify right side
    6,808.91x = 37,380,187.84
  5. Step 5: Solve for x
    x = 37,380,187.84/6,808.91
  6. Step 6: Final answer
    x = 5,489.89

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1.5x scale

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.