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Finding the Fourth Proportional to 3,270.35, 4,904.99 and 961.31

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Solution

The fourth proportional to 3,270.35, 4,904.99 and 961.31 is: 1,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.35 : 4,904.99 = 961.31 : x
  2. Step 2: Convert to fraction form
    3,270.35/4,904.99 = 961.31/x
  3. Step 3: Cross multiply
    3,270.35x = 4,904.99 × 961.31
  4. Step 4: Simplify right side
    3,270.35x = 4,715,227.00
  5. Step 5: Solve for x
    x = 4,715,227.00/3,270.35
  6. Step 6: Final answer
    x = 1,441.81

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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.