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Finding the Fourth Proportional to 7,843.21, 11,821.19 and 6,760.64

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Solution

The fourth proportional to 7,843.21, 11,821.19 and 6,760.64 is: 10,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.21 : 11,821.19 = 6,760.64 : x
  2. Step 2: Convert to fraction form
    7,843.21/11,821.19 = 6,760.64/x
  3. Step 3: Cross multiply
    7,843.21x = 11,821.19 × 6,760.64
  4. Step 4: Simplify right side
    7,843.21x = 79,918,809.96
  5. Step 5: Solve for x
    x = 79,918,809.96/7,843.21
  6. Step 6: Final answer
    x = 10,189.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.