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Finding the Fourth Proportional to 3,954.44, 5,457.06 and 2,186

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Solution

The fourth proportional to 3,954.44, 5,457.06 and 2,186 is: 3,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.44 : 5,457.06 = 2,186 : x
  2. Step 2: Convert to fraction form
    3,954.44/5,457.06 = 2,186/x
  3. Step 3: Cross multiply
    3,954.44x = 5,457.06 × 2,186
  4. Step 4: Simplify right side
    3,954.44x = 11,929,133.16
  5. Step 5: Solve for x
    x = 11,929,133.16/3,954.44
  6. Step 6: Final answer
    x = 3,016.64

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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.