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Finding the Fourth Proportional to 8,563.78, 12,843.70 and 3,297.06

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Solution

The fourth proportional to 8,563.78, 12,843.70 and 3,297.06 is: 4,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.78 : 12,843.70 = 3,297.06 : x
  2. Step 2: Convert to fraction form
    8,563.78/12,843.70 = 3,297.06/x
  3. Step 3: Cross multiply
    8,563.78x = 12,843.70 × 3,297.06
  4. Step 4: Simplify right side
    8,563.78x = 42,346,449.52
  5. Step 5: Solve for x
    x = 42,346,449.52/8,563.78
  6. Step 6: Final answer
    x = 4,944.83

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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.