Home / 2,077.24-3,114.60-982.12

Finding the Fourth Proportional to 2,077.24, 3,114.60 and 982.12

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Solution

The fourth proportional to 2,077.24, 3,114.60 and 982.12 is: 1,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.24 : 3,114.60 = 982.12 : x
  2. Step 2: Convert to fraction form
    2,077.24/3,114.60 = 982.12/x
  3. Step 3: Cross multiply
    2,077.24x = 3,114.60 × 982.12
  4. Step 4: Simplify right side
    2,077.24x = 3,058,910.95
  5. Step 5: Solve for x
    x = 3,058,910.95/2,077.24
  6. Step 6: Final answer
    x = 1,472.58

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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.