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Finding the Fourth Proportional to 3,884.45, 5,826.68 and 1,419.45

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Solution

The fourth proportional to 3,884.45, 5,826.68 and 1,419.45 is: 2,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.45 : 5,826.68 = 1,419.45 : x
  2. Step 2: Convert to fraction form
    3,884.45/5,826.68 = 1,419.45/x
  3. Step 3: Cross multiply
    3,884.45x = 5,826.68 × 1,419.45
  4. Step 4: Simplify right side
    3,884.45x = 8,270,680.93
  5. Step 5: Solve for x
    x = 8,270,680.93/3,884.45
  6. Step 6: Final answer
    x = 2,129.18

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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.