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Finding the Fourth Proportional to 5,243.94, 7,863.18 and 1,954.34

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Solution

The fourth proportional to 5,243.94, 7,863.18 and 1,954.34 is: 2,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.94 : 7,863.18 = 1,954.34 : x
  2. Step 2: Convert to fraction form
    5,243.94/7,863.18 = 1,954.34/x
  3. Step 3: Cross multiply
    5,243.94x = 7,863.18 × 1,954.34
  4. Step 4: Simplify right side
    5,243.94x = 15,367,287.89
  5. Step 5: Solve for x
    x = 15,367,287.89/5,243.94
  6. Step 6: Final answer
    x = 2,930.49

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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.