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Finding the Fourth Proportional to 2,605.25, 3,905.94 and 961.80

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Solution

The fourth proportional to 2,605.25, 3,905.94 and 961.80 is: 1,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.25 : 3,905.94 = 961.80 : x
  2. Step 2: Convert to fraction form
    2,605.25/3,905.94 = 961.80/x
  3. Step 3: Cross multiply
    2,605.25x = 3,905.94 × 961.80
  4. Step 4: Simplify right side
    2,605.25x = 3,756,733.09
  5. Step 5: Solve for x
    x = 3,756,733.09/2,605.25
  6. Step 6: Final answer
    x = 1,441.99

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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.