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Finding the Fourth Proportional to 2,878, 3,971.82 and 1,636

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Solution

The fourth proportional to 2,878, 3,971.82 and 1,636 is: 2,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878 : 3,971.82 = 1,636 : x
  2. Step 2: Convert to fraction form
    2,878/3,971.82 = 1,636/x
  3. Step 3: Cross multiply
    2,878x = 3,971.82 × 1,636
  4. Step 4: Simplify right side
    2,878x = 6,497,897.52
  5. Step 5: Solve for x
    x = 6,497,897.52/2,878
  6. Step 6: Final answer
    x = 2,257.78

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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.