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Finding the Fourth Proportional to 3,764.50, 5,194.80 and 2,085.89

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Solution

The fourth proportional to 3,764.50, 5,194.80 and 2,085.89 is: 2,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.50 : 5,194.80 = 2,085.89 : x
  2. Step 2: Convert to fraction form
    3,764.50/5,194.80 = 2,085.89/x
  3. Step 3: Cross multiply
    3,764.50x = 5,194.80 × 2,085.89
  4. Step 4: Simplify right side
    3,764.50x = 10,835,755.40
  5. Step 5: Solve for x
    x = 10,835,755.40/3,764.50
  6. Step 6: Final answer
    x = 2,878.41

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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.