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Finding the Fourth Proportional to 3,105.11, 4,657.50 and 764.99

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Solution

The fourth proportional to 3,105.11, 4,657.50 and 764.99 is: 1,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.11 : 4,657.50 = 764.99 : x
  2. Step 2: Convert to fraction form
    3,105.11/4,657.50 = 764.99/x
  3. Step 3: Cross multiply
    3,105.11x = 4,657.50 × 764.99
  4. Step 4: Simplify right side
    3,105.11x = 3,562,961.30
  5. Step 5: Solve for x
    x = 3,562,961.30/3,105.11
  6. Step 6: Final answer
    x = 1,147.45

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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.