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Finding the Fourth Proportional to 2,609.85, 3,914.79 and 662.06

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Solution

The fourth proportional to 2,609.85, 3,914.79 and 662.06 is: 993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.85 : 3,914.79 = 662.06 : x
  2. Step 2: Convert to fraction form
    2,609.85/3,914.79 = 662.06/x
  3. Step 3: Cross multiply
    2,609.85x = 3,914.79 × 662.06
  4. Step 4: Simplify right side
    2,609.85x = 2,591,806.29
  5. Step 5: Solve for x
    x = 2,591,806.29/2,609.85
  6. Step 6: Final answer
    x = 993.09

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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.