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Finding the Fourth Proportional to 2,650.22, 3,971.03 and 1,400.76

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Solution

The fourth proportional to 2,650.22, 3,971.03 and 1,400.76 is: 2,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.22 : 3,971.03 = 1,400.76 : x
  2. Step 2: Convert to fraction form
    2,650.22/3,971.03 = 1,400.76/x
  3. Step 3: Cross multiply
    2,650.22x = 3,971.03 × 1,400.76
  4. Step 4: Simplify right side
    2,650.22x = 5,562,452.98
  5. Step 5: Solve for x
    x = 5,562,452.98/2,650.22
  6. Step 6: Final answer
    x = 2,098.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.