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Finding the Fourth Proportional to 2,173.80, 3,261.02 and 712.68

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Solution

The fourth proportional to 2,173.80, 3,261.02 and 712.68 is: 1,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.80 : 3,261.02 = 712.68 : x
  2. Step 2: Convert to fraction form
    2,173.80/3,261.02 = 712.68/x
  3. Step 3: Cross multiply
    2,173.80x = 3,261.02 × 712.68
  4. Step 4: Simplify right side
    2,173.80x = 2,324,063.73
  5. Step 5: Solve for x
    x = 2,324,063.73/2,173.80
  6. Step 6: Final answer
    x = 1,069.12

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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.