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Finding the Fourth Proportional to 5,755.65, 7,942.83 and 3,398.95

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Solution

The fourth proportional to 5,755.65, 7,942.83 and 3,398.95 is: 4,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.65 : 7,942.83 = 3,398.95 : x
  2. Step 2: Convert to fraction form
    5,755.65/7,942.83 = 3,398.95/x
  3. Step 3: Cross multiply
    5,755.65x = 7,942.83 × 3,398.95
  4. Step 4: Simplify right side
    5,755.65x = 26,997,265.03
  5. Step 5: Solve for x
    x = 26,997,265.03/5,755.65
  6. Step 6: Final answer
    x = 4,690.57

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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.