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Finding the Fourth Proportional to 1,920.94, 2,885.50 and 1,376.62

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Solution

The fourth proportional to 1,920.94, 2,885.50 and 1,376.62 is: 2,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.94 : 2,885.50 = 1,376.62 : x
  2. Step 2: Convert to fraction form
    1,920.94/2,885.50 = 1,376.62/x
  3. Step 3: Cross multiply
    1,920.94x = 2,885.50 × 1,376.62
  4. Step 4: Simplify right side
    1,920.94x = 3,972,237.01
  5. Step 5: Solve for x
    x = 3,972,237.01/1,920.94
  6. Step 6: Final answer
    x = 2,067.86

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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.