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Finding the Fourth Proportional to 4,865.74, 7,286.90 and 2,779.41

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Solution

The fourth proportional to 4,865.74, 7,286.90 and 2,779.41 is: 4,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.74 : 7,286.90 = 2,779.41 : x
  2. Step 2: Convert to fraction form
    4,865.74/7,286.90 = 2,779.41/x
  3. Step 3: Cross multiply
    4,865.74x = 7,286.90 × 2,779.41
  4. Step 4: Simplify right side
    4,865.74x = 20,253,289.68
  5. Step 5: Solve for x
    x = 20,253,289.68/4,865.74
  6. Step 6: Final answer
    x = 4,162.43

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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.