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Finding the Fourth Proportional to 2,768.90, 3,821.02 and 1,509.98

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Solution

The fourth proportional to 2,768.90, 3,821.02 and 1,509.98 is: 2,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.90 : 3,821.02 = 1,509.98 : x
  2. Step 2: Convert to fraction form
    2,768.90/3,821.02 = 1,509.98/x
  3. Step 3: Cross multiply
    2,768.90x = 3,821.02 × 1,509.98
  4. Step 4: Simplify right side
    2,768.90x = 5,769,669.56
  5. Step 5: Solve for x
    x = 5,769,669.56/2,768.90
  6. Step 6: Final answer
    x = 2,083.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.