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Finding the Fourth Proportional to 3,270.40, 4,903.92 and 961.60

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Solution

The fourth proportional to 3,270.40, 4,903.92 and 961.60 is: 1,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.40 : 4,903.92 = 961.60 : x
  2. Step 2: Convert to fraction form
    3,270.40/4,903.92 = 961.60/x
  3. Step 3: Cross multiply
    3,270.40x = 4,903.92 × 961.60
  4. Step 4: Simplify right side
    3,270.40x = 4,715,609.47
  5. Step 5: Solve for x
    x = 4,715,609.47/3,270.40
  6. Step 6: Final answer
    x = 1,441.91

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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.