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Finding the Fourth Proportional to 2,070.22, 3,105.33 and 531.22

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Solution

The fourth proportional to 2,070.22, 3,105.33 and 531.22 is: 796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.22 : 3,105.33 = 531.22 : x
  2. Step 2: Convert to fraction form
    2,070.22/3,105.33 = 531.22/x
  3. Step 3: Cross multiply
    2,070.22x = 3,105.33 × 531.22
  4. Step 4: Simplify right side
    2,070.22x = 1,649,613.40
  5. Step 5: Solve for x
    x = 1,649,613.40/2,070.22
  6. Step 6: Final answer
    x = 796.83

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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.