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Finding the Fourth Proportional to 2,533.06, 3,800.40 and 1,378

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Solution

The fourth proportional to 2,533.06, 3,800.40 and 1,378 is: 2,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.06 : 3,800.40 = 1,378 : x
  2. Step 2: Convert to fraction form
    2,533.06/3,800.40 = 1,378/x
  3. Step 3: Cross multiply
    2,533.06x = 3,800.40 × 1,378
  4. Step 4: Simplify right side
    2,533.06x = 5,236,951.20
  5. Step 5: Solve for x
    x = 5,236,951.20/2,533.06
  6. Step 6: Final answer
    x = 2,067.44

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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.