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Finding the Fourth Proportional to 3,971.58, 5,957.60 and 1,338.86

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Solution

The fourth proportional to 3,971.58, 5,957.60 and 1,338.86 is: 2,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.58 : 5,957.60 = 1,338.86 : x
  2. Step 2: Convert to fraction form
    3,971.58/5,957.60 = 1,338.86/x
  3. Step 3: Cross multiply
    3,971.58x = 5,957.60 × 1,338.86
  4. Step 4: Simplify right side
    3,971.58x = 7,976,392.34
  5. Step 5: Solve for x
    x = 7,976,392.34/3,971.58
  6. Step 6: Final answer
    x = 2,008.37

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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.