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Finding the Fourth Proportional to 4,821.42, 7,212.33 and 3,849.42

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Solution

The fourth proportional to 4,821.42, 7,212.33 and 3,849.42 is: 5,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.42 : 7,212.33 = 3,849.42 : x
  2. Step 2: Convert to fraction form
    4,821.42/7,212.33 = 3,849.42/x
  3. Step 3: Cross multiply
    4,821.42x = 7,212.33 × 3,849.42
  4. Step 4: Simplify right side
    4,821.42x = 27,763,287.35
  5. Step 5: Solve for x
    x = 27,763,287.35/4,821.42
  6. Step 6: Final answer
    x = 5,758.32

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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.