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Finding the Fourth Proportional to 3,769.69, 5,659.80 and 1,922.29

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Solution

The fourth proportional to 3,769.69, 5,659.80 and 1,922.29 is: 2,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.69 : 5,659.80 = 1,922.29 : x
  2. Step 2: Convert to fraction form
    3,769.69/5,659.80 = 1,922.29/x
  3. Step 3: Cross multiply
    3,769.69x = 5,659.80 × 1,922.29
  4. Step 4: Simplify right side
    3,769.69x = 10,879,776.94
  5. Step 5: Solve for x
    x = 10,879,776.94/3,769.69
  6. Step 6: Final answer
    x = 2,886.12

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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.