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Finding the Fourth Proportional to 1,736.75, 2,604.81 and 1,078.70

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Solution

The fourth proportional to 1,736.75, 2,604.81 and 1,078.70 is: 1,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.75 : 2,604.81 = 1,078.70 : x
  2. Step 2: Convert to fraction form
    1,736.75/2,604.81 = 1,078.70/x
  3. Step 3: Cross multiply
    1,736.75x = 2,604.81 × 1,078.70
  4. Step 4: Simplify right side
    1,736.75x = 2,809,795.52
  5. Step 5: Solve for x
    x = 2,809,795.52/1,736.75
  6. Step 6: Final answer
    x = 1,617.85

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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.