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Finding the Fourth Proportional to 3,260.81, 4,891.50 and 920.83

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Solution

The fourth proportional to 3,260.81, 4,891.50 and 920.83 is: 1,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.81 : 4,891.50 = 920.83 : x
  2. Step 2: Convert to fraction form
    3,260.81/4,891.50 = 920.83/x
  3. Step 3: Cross multiply
    3,260.81x = 4,891.50 × 920.83
  4. Step 4: Simplify right side
    3,260.81x = 4,504,239.95
  5. Step 5: Solve for x
    x = 4,504,239.95/3,260.81
  6. Step 6: Final answer
    x = 1,381.33

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1.5x scale

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.