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Finding the Fourth Proportional to 4,765.72, 7,138.84 and 2,812

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Solution

The fourth proportional to 4,765.72, 7,138.84 and 2,812 is: 4,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.72 : 7,138.84 = 2,812 : x
  2. Step 2: Convert to fraction form
    4,765.72/7,138.84 = 2,812/x
  3. Step 3: Cross multiply
    4,765.72x = 7,138.84 × 2,812
  4. Step 4: Simplify right side
    4,765.72x = 20,074,418.08
  5. Step 5: Solve for x
    x = 20,074,418.08/4,765.72
  6. Step 6: Final answer
    x = 4,212.25

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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.