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Finding the Fourth Proportional to 3,976.64, 5,489.74 and 2,485.38

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Solution

The fourth proportional to 3,976.64, 5,489.74 and 2,485.38 is: 3,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.64 : 5,489.74 = 2,485.38 : x
  2. Step 2: Convert to fraction form
    3,976.64/5,489.74 = 2,485.38/x
  3. Step 3: Cross multiply
    3,976.64x = 5,489.74 × 2,485.38
  4. Step 4: Simplify right side
    3,976.64x = 13,644,090.00
  5. Step 5: Solve for x
    x = 13,644,090.00/3,976.64
  6. Step 6: Final answer
    x = 3,431.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.