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Finding the Fourth Proportional to 7,843.21, 11,758.77 and 6,801.78

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Solution

The fourth proportional to 7,843.21, 11,758.77 and 6,801.78 is: 10,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.21 : 11,758.77 = 6,801.78 : x
  2. Step 2: Convert to fraction form
    7,843.21/11,758.77 = 6,801.78/x
  3. Step 3: Cross multiply
    7,843.21x = 11,758.77 × 6,801.78
  4. Step 4: Simplify right side
    7,843.21x = 79,980,566.61
  5. Step 5: Solve for x
    x = 79,980,566.61/7,843.21
  6. Step 6: Final answer
    x = 10,197.43

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1.5x scale

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.