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Finding the Fourth Proportional to 5,812.98, 8,021.92 and 3,160.34

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Solution

The fourth proportional to 5,812.98, 8,021.92 and 3,160.34 is: 4,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.98 : 8,021.92 = 3,160.34 : x
  2. Step 2: Convert to fraction form
    5,812.98/8,021.92 = 3,160.34/x
  3. Step 3: Cross multiply
    5,812.98x = 8,021.92 × 3,160.34
  4. Step 4: Simplify right side
    5,812.98x = 25,351,994.65
  5. Step 5: Solve for x
    x = 25,351,994.65/5,812.98
  6. Step 6: Final answer
    x = 4,361.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.