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Finding the Fourth Proportional to 6,333.60, 8,739.64 and 3,644.72

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Solution

The fourth proportional to 6,333.60, 8,739.64 and 3,644.72 is: 5,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.60 : 8,739.64 = 3,644.72 : x
  2. Step 2: Convert to fraction form
    6,333.60/8,739.64 = 3,644.72/x
  3. Step 3: Cross multiply
    6,333.60x = 8,739.64 × 3,644.72
  4. Step 4: Simplify right side
    6,333.60x = 31,853,540.70
  5. Step 5: Solve for x
    x = 31,853,540.70/6,333.60
  6. Step 6: Final answer
    x = 5,029.29

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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.