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Finding the Fourth Proportional to 6,768.16, 9,338.64 and 3,972.64

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Solution

The fourth proportional to 6,768.16, 9,338.64 and 3,972.64 is: 5,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.16 : 9,338.64 = 3,972.64 : x
  2. Step 2: Convert to fraction form
    6,768.16/9,338.64 = 3,972.64/x
  3. Step 3: Cross multiply
    6,768.16x = 9,338.64 × 3,972.64
  4. Step 4: Simplify right side
    6,768.16x = 37,099,054.81
  5. Step 5: Solve for x
    x = 37,099,054.81/6,768.16
  6. Step 6: Final answer
    x = 5,481.41

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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.