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Finding the Fourth Proportional to 3,285.80, 4,928.66 and 945.83

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Solution

The fourth proportional to 3,285.80, 4,928.66 and 945.83 is: 1,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.80 : 4,928.66 = 945.83 : x
  2. Step 2: Convert to fraction form
    3,285.80/4,928.66 = 945.83/x
  3. Step 3: Cross multiply
    3,285.80x = 4,928.66 × 945.83
  4. Step 4: Simplify right side
    3,285.80x = 4,661,652.21
  5. Step 5: Solve for x
    x = 4,661,652.21/3,285.80
  6. Step 6: Final answer
    x = 1,418.73

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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.