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Finding the Fourth Proportional to 3,954.36, 5,457 and 2,185.98

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Solution

The fourth proportional to 3,954.36, 5,457 and 2,185.98 is: 3,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.36 : 5,457 = 2,185.98 : x
  2. Step 2: Convert to fraction form
    3,954.36/5,457 = 2,185.98/x
  3. Step 3: Cross multiply
    3,954.36x = 5,457 × 2,185.98
  4. Step 4: Simplify right side
    3,954.36x = 11,928,892.86
  5. Step 5: Solve for x
    x = 11,928,892.86/3,954.36
  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.