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Finding the Fourth Proportional to 1,920.58, 2,650.49 and 1,281.41

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Solution

The fourth proportional to 1,920.58, 2,650.49 and 1,281.41 is: 1,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.58 : 2,650.49 = 1,281.41 : x
  2. Step 2: Convert to fraction form
    1,920.58/2,650.49 = 1,281.41/x
  3. Step 3: Cross multiply
    1,920.58x = 2,650.49 × 1,281.41
  4. Step 4: Simplify right side
    1,920.58x = 3,396,364.39
  5. Step 5: Solve for x
    x = 3,396,364.39/1,920.58
  6. Step 6: Final answer
    x = 1,768.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.