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Finding the Fourth Proportional to 5,199.84, 7,175.84 and 2,842.04

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Solution

The fourth proportional to 5,199.84, 7,175.84 and 2,842.04 is: 3,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.84 : 7,175.84 = 2,842.04 : x
  2. Step 2: Convert to fraction form
    5,199.84/7,175.84 = 2,842.04/x
  3. Step 3: Cross multiply
    5,199.84x = 7,175.84 × 2,842.04
  4. Step 4: Simplify right side
    5,199.84x = 20,393,974.22
  5. Step 5: Solve for x
    x = 20,393,974.22/5,199.84
  6. Step 6: Final answer
    x = 3,922.04

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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.