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Finding the Fourth Proportional to 3,755.92, 5,627.73 and 1,289.41

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Solution

The fourth proportional to 3,755.92, 5,627.73 and 1,289.41 is: 1,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.92 : 5,627.73 = 1,289.41 : x
  2. Step 2: Convert to fraction form
    3,755.92/5,627.73 = 1,289.41/x
  3. Step 3: Cross multiply
    3,755.92x = 5,627.73 × 1,289.41
  4. Step 4: Simplify right side
    3,755.92x = 7,256,451.34
  5. Step 5: Solve for x
    x = 7,256,451.34/3,755.92
  6. Step 6: Final answer
    x = 1,932.00

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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.