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Finding the Fourth Proportional to 2,546.01, 3,820.91 and 1,894.77

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Solution

The fourth proportional to 2,546.01, 3,820.91 and 1,894.77 is: 2,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.01 : 3,820.91 = 1,894.77 : x
  2. Step 2: Convert to fraction form
    2,546.01/3,820.91 = 1,894.77/x
  3. Step 3: Cross multiply
    2,546.01x = 3,820.91 × 1,894.77
  4. Step 4: Simplify right side
    2,546.01x = 7,239,736.17
  5. Step 5: Solve for x
    x = 7,239,736.17/2,546.01
  6. Step 6: Final answer
    x = 2,843.56

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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.