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Finding the Fourth Proportional to 2,739, 3,780.78 and 1,635

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Solution

The fourth proportional to 2,739, 3,780.78 and 1,635 is: 2,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739 : 3,780.78 = 1,635 : x
  2. Step 2: Convert to fraction form
    2,739/3,780.78 = 1,635/x
  3. Step 3: Cross multiply
    2,739x = 3,780.78 × 1,635
  4. Step 4: Simplify right side
    2,739x = 6,181,575.30
  5. Step 5: Solve for x
    x = 6,181,575.30/2,739
  6. Step 6: Final answer
    x = 2,256.87

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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.