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Finding the Fourth Proportional to 2,606.66, 3,910.10 and 757.73

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Solution

The fourth proportional to 2,606.66, 3,910.10 and 757.73 is: 1,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.66 : 3,910.10 = 757.73 : x
  2. Step 2: Convert to fraction form
    2,606.66/3,910.10 = 757.73/x
  3. Step 3: Cross multiply
    2,606.66x = 3,910.10 × 757.73
  4. Step 4: Simplify right side
    2,606.66x = 2,962,797.19
  5. Step 5: Solve for x
    x = 2,962,797.19/2,606.66
  6. Step 6: Final answer
    x = 1,136.63

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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.