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Finding the Fourth Proportional to 2,008.89, 3,012.87 and 775.89

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Solution

The fourth proportional to 2,008.89, 3,012.87 and 775.89 is: 1,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.89 : 3,012.87 = 775.89 : x
  2. Step 2: Convert to fraction form
    2,008.89/3,012.87 = 775.89/x
  3. Step 3: Cross multiply
    2,008.89x = 3,012.87 × 775.89
  4. Step 4: Simplify right side
    2,008.89x = 2,337,655.70
  5. Step 5: Solve for x
    x = 2,337,655.70/2,008.89
  6. Step 6: Final answer
    x = 1,163.66

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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.