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Finding the Fourth Proportional to 3,321.78, 4,981.23 and 1,129.92

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Solution

The fourth proportional to 3,321.78, 4,981.23 and 1,129.92 is: 1,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.78 : 4,981.23 = 1,129.92 : x
  2. Step 2: Convert to fraction form
    3,321.78/4,981.23 = 1,129.92/x
  3. Step 3: Cross multiply
    3,321.78x = 4,981.23 × 1,129.92
  4. Step 4: Simplify right side
    3,321.78x = 5,628,391.40
  5. Step 5: Solve for x
    x = 5,628,391.40/3,321.78
  6. Step 6: Final answer
    x = 1,694.39

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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.