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Finding the Fourth Proportional to 3,393.76, 5,091.66 and 1,638.81

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Solution

The fourth proportional to 3,393.76, 5,091.66 and 1,638.81 is: 2,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.76 : 5,091.66 = 1,638.81 : x
  2. Step 2: Convert to fraction form
    3,393.76/5,091.66 = 1,638.81/x
  3. Step 3: Cross multiply
    3,393.76x = 5,091.66 × 1,638.81
  4. Step 4: Simplify right side
    3,393.76x = 8,344,277.40
  5. Step 5: Solve for x
    x = 8,344,277.40/3,393.76
  6. Step 6: Final answer
    x = 2,458.71

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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.