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Finding the Fourth Proportional to 3,782, 5,668.94 and 1,829.90

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Solution

The fourth proportional to 3,782, 5,668.94 and 1,829.90 is: 2,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782 : 5,668.94 = 1,829.90 : x
  2. Step 2: Convert to fraction form
    3,782/5,668.94 = 1,829.90/x
  3. Step 3: Cross multiply
    3,782x = 5,668.94 × 1,829.90
  4. Step 4: Simplify right side
    3,782x = 10,373,593.31
  5. Step 5: Solve for x
    x = 10,373,593.31/3,782
  6. Step 6: Final answer
    x = 2,742.89

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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.