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Finding the Fourth Proportional to 2,116.81, 3,171.73 and 729.39

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Solution

The fourth proportional to 2,116.81, 3,171.73 and 729.39 is: 1,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.81 : 3,171.73 = 729.39 : x
  2. Step 2: Convert to fraction form
    2,116.81/3,171.73 = 729.39/x
  3. Step 3: Cross multiply
    2,116.81x = 3,171.73 × 729.39
  4. Step 4: Simplify right side
    2,116.81x = 2,313,428.14
  5. Step 5: Solve for x
    x = 2,313,428.14/2,116.81
  6. Step 6: Final answer
    x = 1,092.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.