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Finding the Fourth Proportional to 2,768.88, 3,821.06 and 1,509.94

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Solution

The fourth proportional to 2,768.88, 3,821.06 and 1,509.94 is: 2,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.88 : 3,821.06 = 1,509.94 : x
  2. Step 2: Convert to fraction form
    2,768.88/3,821.06 = 1,509.94/x
  3. Step 3: Cross multiply
    2,768.88x = 3,821.06 × 1,509.94
  4. Step 4: Simplify right side
    2,768.88x = 5,769,571.34
  5. Step 5: Solve for x
    x = 5,769,571.34/2,768.88
  6. Step 6: Final answer
    x = 2,083.72

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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.