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Finding the Fourth Proportional to 5,396.98, 7,447.68 and 3,039.07

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Solution

The fourth proportional to 5,396.98, 7,447.68 and 3,039.07 is: 4,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.98 : 7,447.68 = 3,039.07 : x
  2. Step 2: Convert to fraction form
    5,396.98/7,447.68 = 3,039.07/x
  3. Step 3: Cross multiply
    5,396.98x = 7,447.68 × 3,039.07
  4. Step 4: Simplify right side
    5,396.98x = 22,633,983.62
  5. Step 5: Solve for x
    x = 22,633,983.62/5,396.98
  6. Step 6: Final answer
    x = 4,193.83

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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.