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Finding the Fourth Proportional to 5,755.70, 7,942.56 and 3,396.98

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Solution

The fourth proportional to 5,755.70, 7,942.56 and 3,396.98 is: 4,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.70 : 7,942.56 = 3,396.98 : x
  2. Step 2: Convert to fraction form
    5,755.70/7,942.56 = 3,396.98/x
  3. Step 3: Cross multiply
    5,755.70x = 7,942.56 × 3,396.98
  4. Step 4: Simplify right side
    5,755.70x = 26,980,717.47
  5. Step 5: Solve for x
    x = 26,980,717.47/5,755.70
  6. Step 6: Final answer
    x = 4,687.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.