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Finding the Fourth Proportional to 3,096.71, 4,645.05 and 756.73

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Solution

The fourth proportional to 3,096.71, 4,645.05 and 756.73 is: 1,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.71 : 4,645.05 = 756.73 : x
  2. Step 2: Convert to fraction form
    3,096.71/4,645.05 = 756.73/x
  3. Step 3: Cross multiply
    3,096.71x = 4,645.05 × 756.73
  4. Step 4: Simplify right side
    3,096.71x = 3,515,044.90
  5. Step 5: Solve for x
    x = 3,515,044.90/3,096.71
  6. Step 6: Final answer
    x = 1,135.09

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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.