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Finding the Fourth Proportional to 6,342.54, 9,499.96 and 3,869.86

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Solution

The fourth proportional to 6,342.54, 9,499.96 and 3,869.86 is: 5,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.54 : 9,499.96 = 3,869.86 : x
  2. Step 2: Convert to fraction form
    6,342.54/9,499.96 = 3,869.86/x
  3. Step 3: Cross multiply
    6,342.54x = 9,499.96 × 3,869.86
  4. Step 4: Simplify right side
    6,342.54x = 36,763,515.21
  5. Step 5: Solve for x
    x = 36,763,515.21/6,342.54
  6. Step 6: Final answer
    x = 5,796.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.