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Finding the Fourth Proportional to 5,231.73, 7,219.89 and 2,874

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Solution

The fourth proportional to 5,231.73, 7,219.89 and 2,874 is: 3,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.73 : 7,219.89 = 2,874 : x
  2. Step 2: Convert to fraction form
    5,231.73/7,219.89 = 2,874/x
  3. Step 3: Cross multiply
    5,231.73x = 7,219.89 × 2,874
  4. Step 4: Simplify right side
    5,231.73x = 20,749,963.86
  5. Step 5: Solve for x
    x = 20,749,963.86/5,231.73
  6. Step 6: Final answer
    x = 3,966.18

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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.