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Finding the Fourth Proportional to 2,011, 3,012.75 and 1,186.83

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Solution

The fourth proportional to 2,011, 3,012.75 and 1,186.83 is: 1,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011 : 3,012.75 = 1,186.83 : x
  2. Step 2: Convert to fraction form
    2,011/3,012.75 = 1,186.83/x
  3. Step 3: Cross multiply
    2,011x = 3,012.75 × 1,186.83
  4. Step 4: Simplify right side
    2,011x = 3,575,622.08
  5. Step 5: Solve for x
    x = 3,575,622.08/2,011
  6. Step 6: Final answer
    x = 1,778.03

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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.