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Finding the Fourth Proportional to 3,202, 4,804.92 and 1,378

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Solution

The fourth proportional to 3,202, 4,804.92 and 1,378 is: 2,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202 : 4,804.92 = 1,378 : x
  2. Step 2: Convert to fraction form
    3,202/4,804.92 = 1,378/x
  3. Step 3: Cross multiply
    3,202x = 4,804.92 × 1,378
  4. Step 4: Simplify right side
    3,202x = 6,621,179.76
  5. Step 5: Solve for x
    x = 6,621,179.76/3,202
  6. Step 6: Final answer
    x = 2,067.83

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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.