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Finding the Fourth Proportional to 3,779.70, 5,668.74 and 1,181.22

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Solution

The fourth proportional to 3,779.70, 5,668.74 and 1,181.22 is: 1,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.70 : 5,668.74 = 1,181.22 : x
  2. Step 2: Convert to fraction form
    3,779.70/5,668.74 = 1,181.22/x
  3. Step 3: Cross multiply
    3,779.70x = 5,668.74 × 1,181.22
  4. Step 4: Simplify right side
    3,779.70x = 6,696,029.06
  5. Step 5: Solve for x
    x = 6,696,029.06/3,779.70
  6. Step 6: Final answer
    x = 1,771.58

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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.