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Finding the Fourth Proportional to 8,198.56, 12,298.56 and 3,518.80

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Solution

The fourth proportional to 8,198.56, 12,298.56 and 3,518.80 is: 5,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.56 : 12,298.56 = 3,518.80 : x
  2. Step 2: Convert to fraction form
    8,198.56/12,298.56 = 3,518.80/x
  3. Step 3: Cross multiply
    8,198.56x = 12,298.56 × 3,518.80
  4. Step 4: Simplify right side
    8,198.56x = 43,276,172.93
  5. Step 5: Solve for x
    x = 43,276,172.93/8,198.56
  6. Step 6: Final answer
    x = 5,278.51

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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.