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Finding the Fourth Proportional to 2,070.26, 3,105.48 and 683.56

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Solution

The fourth proportional to 2,070.26, 3,105.48 and 683.56 is: 1,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.26 : 3,105.48 = 683.56 : x
  2. Step 2: Convert to fraction form
    2,070.26/3,105.48 = 683.56/x
  3. Step 3: Cross multiply
    2,070.26x = 3,105.48 × 683.56
  4. Step 4: Simplify right side
    2,070.26x = 2,122,786.78
  5. Step 5: Solve for x
    x = 2,122,786.78/2,070.26
  6. Step 6: Final answer
    x = 1,025.37

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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.