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Finding the Fourth Proportional to 5,797.50, 7,999.18 and 3,912.57

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Solution

The fourth proportional to 5,797.50, 7,999.18 and 3,912.57 is: 5,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.50 : 7,999.18 = 3,912.57 : x
  2. Step 2: Convert to fraction form
    5,797.50/7,999.18 = 3,912.57/x
  3. Step 3: Cross multiply
    5,797.50x = 7,999.18 × 3,912.57
  4. Step 4: Simplify right side
    5,797.50x = 31,297,351.69
  5. Step 5: Solve for x
    x = 31,297,351.69/5,797.50
  6. Step 6: Final answer
    x = 5,398.42

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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.