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Finding the Fourth Proportional to 5,213.77, 7,193.20 and 2,974.03

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Solution

The fourth proportional to 5,213.77, 7,193.20 and 2,974.03 is: 4,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.77 : 7,193.20 = 2,974.03 : x
  2. Step 2: Convert to fraction form
    5,213.77/7,193.20 = 2,974.03/x
  3. Step 3: Cross multiply
    5,213.77x = 7,193.20 × 2,974.03
  4. Step 4: Simplify right side
    5,213.77x = 21,392,792.60
  5. Step 5: Solve for x
    x = 21,392,792.60/5,213.77
  6. Step 6: Final answer
    x = 4,103.13

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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.