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Finding the Fourth Proportional to 3,877, 5,347.98 and 2,305

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Solution

The fourth proportional to 3,877, 5,347.98 and 2,305 is: 3,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877 : 5,347.98 = 2,305 : x
  2. Step 2: Convert to fraction form
    3,877/5,347.98 = 2,305/x
  3. Step 3: Cross multiply
    3,877x = 5,347.98 × 2,305
  4. Step 4: Simplify right side
    3,877x = 12,327,093.90
  5. Step 5: Solve for x
    x = 12,327,093.90/3,877
  6. Step 6: Final answer
    x = 3,179.54

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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.