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Finding the Fourth Proportional to 3,893.66, 5,843.05 and 1,428.50

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Solution

The fourth proportional to 3,893.66, 5,843.05 and 1,428.50 is: 2,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.66 : 5,843.05 = 1,428.50 : x
  2. Step 2: Convert to fraction form
    3,893.66/5,843.05 = 1,428.50/x
  3. Step 3: Cross multiply
    3,893.66x = 5,843.05 × 1,428.50
  4. Step 4: Simplify right side
    3,893.66x = 8,346,785.32
  5. Step 5: Solve for x
    x = 8,346,785.32/3,893.66
  6. Step 6: Final answer
    x = 2,143.69

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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.