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Finding the Fourth Proportional to 3,957.24, 5,939.48 and 2,109.92

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Solution

The fourth proportional to 3,957.24, 5,939.48 and 2,109.92 is: 3,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.24 : 5,939.48 = 2,109.92 : x
  2. Step 2: Convert to fraction form
    3,957.24/5,939.48 = 2,109.92/x
  3. Step 3: Cross multiply
    3,957.24x = 5,939.48 × 2,109.92
  4. Step 4: Simplify right side
    3,957.24x = 12,531,827.64
  5. Step 5: Solve for x
    x = 12,531,827.64/3,957.24
  6. Step 6: Final answer
    x = 3,166.81

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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.