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Finding the Fourth Proportional to 5,755.68, 7,940.88 and 3,396.24

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Solution

The fourth proportional to 5,755.68, 7,940.88 and 3,396.24 is: 4,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.68 : 7,940.88 = 3,396.24 : x
  2. Step 2: Convert to fraction form
    5,755.68/7,940.88 = 3,396.24/x
  3. Step 3: Cross multiply
    5,755.68x = 7,940.88 × 3,396.24
  4. Step 4: Simplify right side
    5,755.68x = 26,969,134.29
  5. Step 5: Solve for x
    x = 26,969,134.29/5,755.68
  6. Step 6: Final answer
    x = 4,685.66

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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.