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Finding the Fourth Proportional to 9,198.56, 13,790.62 and 4,815.20

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Solution

The fourth proportional to 9,198.56, 13,790.62 and 4,815.20 is: 7,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.56 : 13,790.62 = 4,815.20 : x
  2. Step 2: Convert to fraction form
    9,198.56/13,790.62 = 4,815.20/x
  3. Step 3: Cross multiply
    9,198.56x = 13,790.62 × 4,815.20
  4. Step 4: Simplify right side
    9,198.56x = 66,404,593.42
  5. Step 5: Solve for x
    x = 66,404,593.42/9,198.56
  6. Step 6: Final answer
    x = 7,219.02

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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.