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Finding the Fourth Proportional to 3,839.94, 5,762.73 and 1,893.54

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Solution

The fourth proportional to 3,839.94, 5,762.73 and 1,893.54 is: 2,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.94 : 5,762.73 = 1,893.54 : x
  2. Step 2: Convert to fraction form
    3,839.94/5,762.73 = 1,893.54/x
  3. Step 3: Cross multiply
    3,839.94x = 5,762.73 × 1,893.54
  4. Step 4: Simplify right side
    3,839.94x = 10,911,959.76
  5. Step 5: Solve for x
    x = 10,911,959.76/3,839.94
  6. Step 6: Final answer
    x = 2,841.70

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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.