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Finding the Fourth Proportional to 1,940.90, 2,910.89 and 966.77

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Solution

The fourth proportional to 1,940.90, 2,910.89 and 966.77 is: 1,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.90 : 2,910.89 = 966.77 : x
  2. Step 2: Convert to fraction form
    1,940.90/2,910.89 = 966.77/x
  3. Step 3: Cross multiply
    1,940.90x = 2,910.89 × 966.77
  4. Step 4: Simplify right side
    1,940.90x = 2,814,141.74
  5. Step 5: Solve for x
    x = 2,814,141.74/1,940.90
  6. Step 6: Final answer
    x = 1,449.92

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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.