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Finding the Fourth Proportional to 2,069.70, 3,106.50 and 754.73

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Solution

The fourth proportional to 2,069.70, 3,106.50 and 754.73 is: 1,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.70 : 3,106.50 = 754.73 : x
  2. Step 2: Convert to fraction form
    2,069.70/3,106.50 = 754.73/x
  3. Step 3: Cross multiply
    2,069.70x = 3,106.50 × 754.73
  4. Step 4: Simplify right side
    2,069.70x = 2,344,553.21
  5. Step 5: Solve for x
    x = 2,344,553.21/2,069.70
  6. Step 6: Final answer
    x = 1,132.80

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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.