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Finding the Fourth Proportional to 6,816, 10,224 and 2,714.88

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Solution

The fourth proportional to 6,816, 10,224 and 2,714.88 is: 4,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 10,224 = 2,714.88 : x
  2. Step 2: Convert to fraction form
    6,816/10,224 = 2,714.88/x
  3. Step 3: Cross multiply
    6,816x = 10,224 × 2,714.88
  4. Step 4: Simplify right side
    6,816x = 27,756,933.12
  5. Step 5: Solve for x
    x = 27,756,933.12/6,816
  6. Step 6: Final answer
    x = 4,072.32

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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.