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Finding the Fourth Proportional to 6,300, 8,694 and 3,505.44

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Solution

The fourth proportional to 6,300, 8,694 and 3,505.44 is: 4,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300 : 8,694 = 3,505.44 : x
  2. Step 2: Convert to fraction form
    6,300/8,694 = 3,505.44/x
  3. Step 3: Cross multiply
    6,300x = 8,694 × 3,505.44
  4. Step 4: Simplify right side
    6,300x = 30,476,295.36
  5. Step 5: Solve for x
    x = 30,476,295.36/6,300
  6. Step 6: Final answer
    x = 4,837.51

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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.