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Finding the Fourth Proportional to 3,322.93, 4,979.69 and 1,842.80

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Solution

The fourth proportional to 3,322.93, 4,979.69 and 1,842.80 is: 2,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.93 : 4,979.69 = 1,842.80 : x
  2. Step 2: Convert to fraction form
    3,322.93/4,979.69 = 1,842.80/x
  3. Step 3: Cross multiply
    3,322.93x = 4,979.69 × 1,842.80
  4. Step 4: Simplify right side
    3,322.93x = 9,176,554.35
  5. Step 5: Solve for x
    x = 9,176,554.35/3,322.93
  6. Step 6: Final answer
    x = 2,761.59

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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.