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Finding the Fourth Proportional to 6,376.88, 8,796.84 and 4,140.02

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Solution

The fourth proportional to 6,376.88, 8,796.84 and 4,140.02 is: 5,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.88 : 8,796.84 = 4,140.02 : x
  2. Step 2: Convert to fraction form
    6,376.88/8,796.84 = 4,140.02/x
  3. Step 3: Cross multiply
    6,376.88x = 8,796.84 × 4,140.02
  4. Step 4: Simplify right side
    6,376.88x = 36,419,093.54
  5. Step 5: Solve for x
    x = 36,419,093.54/6,376.88
  6. Step 6: Final answer
    x = 5,711.11

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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.