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Finding the Fourth Proportional to 2,092.72, 3,137.14 and 775.74

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Solution

The fourth proportional to 2,092.72, 3,137.14 and 775.74 is: 1,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.72 : 3,137.14 = 775.74 : x
  2. Step 2: Convert to fraction form
    2,092.72/3,137.14 = 775.74/x
  3. Step 3: Cross multiply
    2,092.72x = 3,137.14 × 775.74
  4. Step 4: Simplify right side
    2,092.72x = 2,433,604.98
  5. Step 5: Solve for x
    x = 2,433,604.98/2,092.72
  6. Step 6: Final answer
    x = 1,162.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.