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Finding the Fourth Proportional to 2,060.50, 3,083 and 1,445.41

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Solution

The fourth proportional to 2,060.50, 3,083 and 1,445.41 is: 2,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.50 : 3,083 = 1,445.41 : x
  2. Step 2: Convert to fraction form
    2,060.50/3,083 = 1,445.41/x
  3. Step 3: Cross multiply
    2,060.50x = 3,083 × 1,445.41
  4. Step 4: Simplify right side
    2,060.50x = 4,456,183.62
  5. Step 5: Solve for x
    x = 4,456,183.62/2,060.50
  6. Step 6: Final answer
    x = 2,162.67

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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.