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Finding the Fourth Proportional to 2,841.84, 3,921.48 and 1,793.88

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Solution

The fourth proportional to 2,841.84, 3,921.48 and 1,793.88 is: 2,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.84 : 3,921.48 = 1,793.88 : x
  2. Step 2: Convert to fraction form
    2,841.84/3,921.48 = 1,793.88/x
  3. Step 3: Cross multiply
    2,841.84x = 3,921.48 × 1,793.88
  4. Step 4: Simplify right side
    2,841.84x = 7,034,664.54
  5. Step 5: Solve for x
    x = 7,034,664.54/2,841.84
  6. Step 6: Final answer
    x = 2,475.39

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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.