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Finding the Fourth Proportional to 5,243.63, 7,866.81 and 1,956.75

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Solution

The fourth proportional to 5,243.63, 7,866.81 and 1,956.75 is: 2,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.63 : 7,866.81 = 1,956.75 : x
  2. Step 2: Convert to fraction form
    5,243.63/7,866.81 = 1,956.75/x
  3. Step 3: Cross multiply
    5,243.63x = 7,866.81 × 1,956.75
  4. Step 4: Simplify right side
    5,243.63x = 15,393,380.47
  5. Step 5: Solve for x
    x = 15,393,380.47/5,243.63
  6. Step 6: Final answer
    x = 2,935.64

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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.