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Finding the Fourth Proportional to 3,791.80, 5,687.70 and 3,143.80

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Solution

The fourth proportional to 3,791.80, 5,687.70 and 3,143.80 is: 4,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.80 : 5,687.70 = 3,143.80 : x
  2. Step 2: Convert to fraction form
    3,791.80/5,687.70 = 3,143.80/x
  3. Step 3: Cross multiply
    3,791.80x = 5,687.70 × 3,143.80
  4. Step 4: Simplify right side
    3,791.80x = 17,880,991.26
  5. Step 5: Solve for x
    x = 17,880,991.26/3,791.80
  6. Step 6: Final answer
    x = 4,715.70

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1.5x scale

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.