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Finding the Fourth Proportional to 4,509.33, 6,764.91 and 1,912.26

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Solution

The fourth proportional to 4,509.33, 6,764.91 and 1,912.26 is: 2,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.33 : 6,764.91 = 1,912.26 : x
  2. Step 2: Convert to fraction form
    4,509.33/6,764.91 = 1,912.26/x
  3. Step 3: Cross multiply
    4,509.33x = 6,764.91 × 1,912.26
  4. Step 4: Simplify right side
    4,509.33x = 12,936,266.80
  5. Step 5: Solve for x
    x = 12,936,266.80/4,509.33
  6. Step 6: Final answer
    x = 2,868.78

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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.