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Finding the Fourth Proportional to 6,396, 8,826.48 and 3,743.28

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Solution

The fourth proportional to 6,396, 8,826.48 and 3,743.28 is: 5,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396 : 8,826.48 = 3,743.28 : x
  2. Step 2: Convert to fraction form
    6,396/8,826.48 = 3,743.28/x
  3. Step 3: Cross multiply
    6,396x = 8,826.48 × 3,743.28
  4. Step 4: Simplify right side
    6,396x = 33,039,986.05
  5. Step 5: Solve for x
    x = 33,039,986.05/6,396
  6. Step 6: Final answer
    x = 5,165.73

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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.