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Finding the Fourth Proportional to 1,920.50, 2,650.49 and 1,257.72

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Solution

The fourth proportional to 1,920.50, 2,650.49 and 1,257.72 is: 1,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.50 : 2,650.49 = 1,257.72 : x
  2. Step 2: Convert to fraction form
    1,920.50/2,650.49 = 1,257.72/x
  3. Step 3: Cross multiply
    1,920.50x = 2,650.49 × 1,257.72
  4. Step 4: Simplify right side
    1,920.50x = 3,333,567.99
  5. Step 5: Solve for x
    x = 3,333,567.99/1,920.50
  6. Step 6: Final answer
    x = 1,735.79

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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.