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Finding the Fourth Proportional to 2,741, 3,783.54 and 1,637

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Solution

The fourth proportional to 2,741, 3,783.54 and 1,637 is: 2,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741 : 3,783.54 = 1,637 : x
  2. Step 2: Convert to fraction form
    2,741/3,783.54 = 1,637/x
  3. Step 3: Cross multiply
    2,741x = 3,783.54 × 1,637
  4. Step 4: Simplify right side
    2,741x = 6,193,654.98
  5. Step 5: Solve for x
    x = 6,193,654.98/2,741
  6. Step 6: Final answer
    x = 2,259.63

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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.