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Finding the Fourth Proportional to 2,141.97, 2,954.93 and 1,512.51

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Solution

The fourth proportional to 2,141.97, 2,954.93 and 1,512.51 is: 2,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.97 : 2,954.93 = 1,512.51 : x
  2. Step 2: Convert to fraction form
    2,141.97/2,954.93 = 1,512.51/x
  3. Step 3: Cross multiply
    2,141.97x = 2,954.93 × 1,512.51
  4. Step 4: Simplify right side
    2,141.97x = 4,469,353.61
  5. Step 5: Solve for x
    x = 4,469,353.61/2,141.97
  6. Step 6: Final answer
    x = 2,086.56

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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.