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Finding the Fourth Proportional to 3,200.70, 4,797.81 and 1,736.76

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Solution

The fourth proportional to 3,200.70, 4,797.81 and 1,736.76 is: 2,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.70 : 4,797.81 = 1,736.76 : x
  2. Step 2: Convert to fraction form
    3,200.70/4,797.81 = 1,736.76/x
  3. Step 3: Cross multiply
    3,200.70x = 4,797.81 × 1,736.76
  4. Step 4: Simplify right side
    3,200.70x = 8,332,644.50
  5. Step 5: Solve for x
    x = 8,332,644.50/3,200.70
  6. Step 6: Final answer
    x = 2,603.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.