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Finding the Fourth Proportional to 3,296.94, 4,945.14 and 1,105.40

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Solution

The fourth proportional to 3,296.94, 4,945.14 and 1,105.40 is: 1,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.94 : 4,945.14 = 1,105.40 : x
  2. Step 2: Convert to fraction form
    3,296.94/4,945.14 = 1,105.40/x
  3. Step 3: Cross multiply
    3,296.94x = 4,945.14 × 1,105.40
  4. Step 4: Simplify right side
    3,296.94x = 5,466,333.03
  5. Step 5: Solve for x
    x = 5,466,333.03/3,296.94
  6. Step 6: Final answer
    x = 1,658.00

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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.