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Finding the Fourth Proportional to 7,662.10, 11,497.60 and 3,219.42

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Solution

The fourth proportional to 7,662.10, 11,497.60 and 3,219.42 is: 4,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.10 : 11,497.60 = 3,219.42 : x
  2. Step 2: Convert to fraction form
    7,662.10/11,497.60 = 3,219.42/x
  3. Step 3: Cross multiply
    7,662.10x = 11,497.60 × 3,219.42
  4. Step 4: Simplify right side
    7,662.10x = 37,015,568.80
  5. Step 5: Solve for x
    x = 37,015,568.80/7,662.10
  6. Step 6: Final answer
    x = 4,830.99

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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.