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Finding the Fourth Proportional to 2,142.74, 3,212.29 and 2,040.68

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Solution

The fourth proportional to 2,142.74, 3,212.29 and 2,040.68 is: 3,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.74 : 3,212.29 = 2,040.68 : x
  2. Step 2: Convert to fraction form
    2,142.74/3,212.29 = 2,040.68/x
  3. Step 3: Cross multiply
    2,142.74x = 3,212.29 × 2,040.68
  4. Step 4: Simplify right side
    2,142.74x = 6,555,255.96
  5. Step 5: Solve for x
    x = 6,555,255.96/2,142.74
  6. Step 6: Final answer
    x = 3,059.29

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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.