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Finding the Fourth Proportional to 6,843, 10,263.60 and 2,680.14

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Solution

The fourth proportional to 6,843, 10,263.60 and 2,680.14 is: 4,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843 : 10,263.60 = 2,680.14 : x
  2. Step 2: Convert to fraction form
    6,843/10,263.60 = 2,680.14/x
  3. Step 3: Cross multiply
    6,843x = 10,263.60 × 2,680.14
  4. Step 4: Simplify right side
    6,843x = 27,507,884.90
  5. Step 5: Solve for x
    x = 27,507,884.90/6,843
  6. Step 6: Final answer
    x = 4,019.86

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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.