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Finding the Fourth Proportional to 3,957.21, 5,936.33 and 1,458.57

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Solution

The fourth proportional to 3,957.21, 5,936.33 and 1,458.57 is: 2,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.21 : 5,936.33 = 1,458.57 : x
  2. Step 2: Convert to fraction form
    3,957.21/5,936.33 = 1,458.57/x
  3. Step 3: Cross multiply
    3,957.21x = 5,936.33 × 1,458.57
  4. Step 4: Simplify right side
    3,957.21x = 8,658,552.85
  5. Step 5: Solve for x
    x = 8,658,552.85/3,957.21
  6. Step 6: Final answer
    x = 2,188.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.