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Finding the Fourth Proportional to 2,011.83, 3,018.12 and 762.80

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Solution

The fourth proportional to 2,011.83, 3,018.12 and 762.80 is: 1,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.83 : 3,018.12 = 762.80 : x
  2. Step 2: Convert to fraction form
    2,011.83/3,018.12 = 762.80/x
  3. Step 3: Cross multiply
    2,011.83x = 3,018.12 × 762.80
  4. Step 4: Simplify right side
    2,011.83x = 2,302,221.94
  5. Step 5: Solve for x
    x = 2,302,221.94/2,011.83
  6. Step 6: Final answer
    x = 1,144.34

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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.