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Finding the Fourth Proportional to 3,173.80, 4,760.70 and 1,711.75

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Solution

The fourth proportional to 3,173.80, 4,760.70 and 1,711.75 is: 2,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.80 : 4,760.70 = 1,711.75 : x
  2. Step 2: Convert to fraction form
    3,173.80/4,760.70 = 1,711.75/x
  3. Step 3: Cross multiply
    3,173.80x = 4,760.70 × 1,711.75
  4. Step 4: Simplify right side
    3,173.80x = 8,149,128.23
  5. Step 5: Solve for x
    x = 8,149,128.23/3,173.80
  6. Step 6: Final answer
    x = 2,567.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.