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Finding the Fourth Proportional to 4,789.75, 7,177.67 and 3,405.87

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Solution

The fourth proportional to 4,789.75, 7,177.67 and 3,405.87 is: 5,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.75 : 7,177.67 = 3,405.87 : x
  2. Step 2: Convert to fraction form
    4,789.75/7,177.67 = 3,405.87/x
  3. Step 3: Cross multiply
    4,789.75x = 7,177.67 × 3,405.87
  4. Step 4: Simplify right side
    4,789.75x = 24,446,210.92
  5. Step 5: Solve for x
    x = 24,446,210.92/4,789.75
  6. Step 6: Final answer
    x = 5,103.86

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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.