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Finding the Fourth Proportional to 3,886.98, 5,821.15 and 2,129.34

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Solution

The fourth proportional to 3,886.98, 5,821.15 and 2,129.34 is: 3,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.98 : 5,821.15 = 2,129.34 : x
  2. Step 2: Convert to fraction form
    3,886.98/5,821.15 = 2,129.34/x
  3. Step 3: Cross multiply
    3,886.98x = 5,821.15 × 2,129.34
  4. Step 4: Simplify right side
    3,886.98x = 12,395,207.54
  5. Step 5: Solve for x
    x = 12,395,207.54/3,886.98
  6. Step 6: Final answer
    x = 3,188.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.