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Finding the Fourth Proportional to 6,351.74, 8,769.72 and 3,962.64

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Solution

The fourth proportional to 6,351.74, 8,769.72 and 3,962.64 is: 5,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.74 : 8,769.72 = 3,962.64 : x
  2. Step 2: Convert to fraction form
    6,351.74/8,769.72 = 3,962.64/x
  3. Step 3: Cross multiply
    6,351.74x = 8,769.72 × 3,962.64
  4. Step 4: Simplify right side
    6,351.74x = 34,751,243.26
  5. Step 5: Solve for x
    x = 34,751,243.26/6,351.74
  6. Step 6: Final answer
    x = 5,471.14

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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.