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Finding the Fourth Proportional to 2,757, 3,799.69 and 2,009.78

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Solution

The fourth proportional to 2,757, 3,799.69 and 2,009.78 is: 2,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757 : 3,799.69 = 2,009.78 : x
  2. Step 2: Convert to fraction form
    2,757/3,799.69 = 2,009.78/x
  3. Step 3: Cross multiply
    2,757x = 3,799.69 × 2,009.78
  4. Step 4: Simplify right side
    2,757x = 7,636,540.97
  5. Step 5: Solve for x
    x = 7,636,540.97/2,757
  6. Step 6: Final answer
    x = 2,769.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.