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Finding the Fourth Proportional to 4,768.94, 7,150.78 and 3,788.02

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Solution

The fourth proportional to 4,768.94, 7,150.78 and 3,788.02 is: 5,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.94 : 7,150.78 = 3,788.02 : x
  2. Step 2: Convert to fraction form
    4,768.94/7,150.78 = 3,788.02/x
  3. Step 3: Cross multiply
    4,768.94x = 7,150.78 × 3,788.02
  4. Step 4: Simplify right side
    4,768.94x = 27,087,297.66
  5. Step 5: Solve for x
    x = 27,087,297.66/4,768.94
  6. Step 6: Final answer
    x = 5,679.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.