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Finding the Fourth Proportional to 3,836.63, 5,754.81 and 1,239.50

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Solution

The fourth proportional to 3,836.63, 5,754.81 and 1,239.50 is: 1,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.63 : 5,754.81 = 1,239.50 : x
  2. Step 2: Convert to fraction form
    3,836.63/5,754.81 = 1,239.50/x
  3. Step 3: Cross multiply
    3,836.63x = 5,754.81 × 1,239.50
  4. Step 4: Simplify right side
    3,836.63x = 7,133,087.00
  5. Step 5: Solve for x
    x = 7,133,087.00/3,836.63
  6. Step 6: Final answer
    x = 1,859.21

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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.