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Finding the Fourth Proportional to 6,800, 10,200.12 and 2,120.18

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Solution

The fourth proportional to 6,800, 10,200.12 and 2,120.18 is: 3,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800 : 10,200.12 = 2,120.18 : x
  2. Step 2: Convert to fraction form
    6,800/10,200.12 = 2,120.18/x
  3. Step 3: Cross multiply
    6,800x = 10,200.12 × 2,120.18
  4. Step 4: Simplify right side
    6,800x = 21,626,090.42
  5. Step 5: Solve for x
    x = 21,626,090.42/6,800
  6. Step 6: Final answer
    x = 3,180.31

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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.