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Finding the Fourth Proportional to 2,010.20, 3,014.22 and 839.48

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Solution

The fourth proportional to 2,010.20, 3,014.22 and 839.48 is: 1,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.20 : 3,014.22 = 839.48 : x
  2. Step 2: Convert to fraction form
    2,010.20/3,014.22 = 839.48/x
  3. Step 3: Cross multiply
    2,010.20x = 3,014.22 × 839.48
  4. Step 4: Simplify right side
    2,010.20x = 2,530,377.41
  5. Step 5: Solve for x
    x = 2,530,377.41/2,010.20
  6. Step 6: Final answer
    x = 1,258.77

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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.