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Finding the Fourth Proportional to 3,894.54, 5,836.62 and 1,917.15

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Solution

The fourth proportional to 3,894.54, 5,836.62 and 1,917.15 is: 2,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.54 : 5,836.62 = 1,917.15 : x
  2. Step 2: Convert to fraction form
    3,894.54/5,836.62 = 1,917.15/x
  3. Step 3: Cross multiply
    3,894.54x = 5,836.62 × 1,917.15
  4. Step 4: Simplify right side
    3,894.54x = 11,189,676.03
  5. Step 5: Solve for x
    x = 11,189,676.03/3,894.54
  6. Step 6: Final answer
    x = 2,873.17

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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.