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Finding the Fourth Proportional to 4,768.86, 6,579.78 and 2,878.94

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Solution

The fourth proportional to 4,768.86, 6,579.78 and 2,878.94 is: 3,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.86 : 6,579.78 = 2,878.94 : x
  2. Step 2: Convert to fraction form
    4,768.86/6,579.78 = 2,878.94/x
  3. Step 3: Cross multiply
    4,768.86x = 6,579.78 × 2,878.94
  4. Step 4: Simplify right side
    4,768.86x = 18,942,791.83
  5. Step 5: Solve for x
    x = 18,942,791.83/4,768.86
  6. Step 6: Final answer
    x = 3,972.18

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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.