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Finding the Fourth Proportional to 2,626.06, 3,939.80 and 982.77

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Solution

The fourth proportional to 2,626.06, 3,939.80 and 982.77 is: 1,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.06 : 3,939.80 = 982.77 : x
  2. Step 2: Convert to fraction form
    2,626.06/3,939.80 = 982.77/x
  3. Step 3: Cross multiply
    2,626.06x = 3,939.80 × 982.77
  4. Step 4: Simplify right side
    2,626.06x = 3,871,917.25
  5. Step 5: Solve for x
    x = 3,871,917.25/2,626.06
  6. Step 6: Final answer
    x = 1,474.42

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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.