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Finding the Fourth Proportional to 6,311.33, 8,709.67 and 3,660.31

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Solution

The fourth proportional to 6,311.33, 8,709.67 and 3,660.31 is: 5,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.33 : 8,709.67 = 3,660.31 : x
  2. Step 2: Convert to fraction form
    6,311.33/8,709.67 = 3,660.31/x
  3. Step 3: Cross multiply
    6,311.33x = 8,709.67 × 3,660.31
  4. Step 4: Simplify right side
    6,311.33x = 31,880,092.20
  5. Step 5: Solve for x
    x = 31,880,092.20/6,311.33
  6. Step 6: Final answer
    x = 5,051.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.