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Finding the Fourth Proportional to 6,300, 8,694 and 3,816

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Solution

The fourth proportional to 6,300, 8,694 and 3,816 is: 5,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300 : 8,694 = 3,816 : x
  2. Step 2: Convert to fraction form
    6,300/8,694 = 3,816/x
  3. Step 3: Cross multiply
    6,300x = 8,694 × 3,816
  4. Step 4: Simplify right side
    6,300x = 33,176,304
  5. Step 5: Solve for x
    x = 33,176,304/6,300
  6. Step 6: Final answer
    x = 5,266.08

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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.