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Finding the Fourth Proportional to 3,886.14, 5,829.24 and 1,419.90

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Solution

The fourth proportional to 3,886.14, 5,829.24 and 1,419.90 is: 2,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.14 : 5,829.24 = 1,419.90 : x
  2. Step 2: Convert to fraction form
    3,886.14/5,829.24 = 1,419.90/x
  3. Step 3: Cross multiply
    3,886.14x = 5,829.24 × 1,419.90
  4. Step 4: Simplify right side
    3,886.14x = 8,276,937.88
  5. Step 5: Solve for x
    x = 8,276,937.88/3,886.14
  6. Step 6: Final answer
    x = 2,129.86

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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.