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Finding the Fourth Proportional to 6,795.78, 9,378.22 and 3,965.12

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Solution

The fourth proportional to 6,795.78, 9,378.22 and 3,965.12 is: 5,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.78 : 9,378.22 = 3,965.12 : x
  2. Step 2: Convert to fraction form
    6,795.78/9,378.22 = 3,965.12/x
  3. Step 3: Cross multiply
    6,795.78x = 9,378.22 × 3,965.12
  4. Step 4: Simplify right side
    6,795.78x = 37,185,767.69
  5. Step 5: Solve for x
    x = 37,185,767.69/6,795.78
  6. Step 6: Final answer
    x = 5,471.89

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