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Finding the Fourth Proportional to 5,103.97, 7,043.11 and 2,865.42

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Solution

The fourth proportional to 5,103.97, 7,043.11 and 2,865.42 is: 3,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.97 : 7,043.11 = 2,865.42 : x
  2. Step 2: Convert to fraction form
    5,103.97/7,043.11 = 2,865.42/x
  3. Step 3: Cross multiply
    5,103.97x = 7,043.11 × 2,865.42
  4. Step 4: Simplify right side
    5,103.97x = 20,181,461.09
  5. Step 5: Solve for x
    x = 20,181,461.09/5,103.97
  6. Step 6: Final answer
    x = 3,954.07

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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.