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Finding the Fourth Proportional to 4,771.80, 7,147.89 and 2,819.25

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Solution

The fourth proportional to 4,771.80, 7,147.89 and 2,819.25 is: 4,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.80 : 7,147.89 = 2,819.25 : x
  2. Step 2: Convert to fraction form
    4,771.80/7,147.89 = 2,819.25/x
  3. Step 3: Cross multiply
    4,771.80x = 7,147.89 × 2,819.25
  4. Step 4: Simplify right side
    4,771.80x = 20,151,688.88
  5. Step 5: Solve for x
    x = 20,151,688.88/4,771.80
  6. Step 6: Final answer
    x = 4,223.08

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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.