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Finding the Fourth Proportional to 2,304, 3,455.37 and 1,378.83

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Solution

The fourth proportional to 2,304, 3,455.37 and 1,378.83 is: 2,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304 : 3,455.37 = 1,378.83 : x
  2. Step 2: Convert to fraction form
    2,304/3,455.37 = 1,378.83/x
  3. Step 3: Cross multiply
    2,304x = 3,455.37 × 1,378.83
  4. Step 4: Simplify right side
    2,304x = 4,764,367.82
  5. Step 5: Solve for x
    x = 4,764,367.82/2,304
  6. Step 6: Final answer
    x = 2,067.87

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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.