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Finding the Fourth Proportional to 3,891.21, 5,836.91 and 1,117.77

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Solution

The fourth proportional to 3,891.21, 5,836.91 and 1,117.77 is: 1,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.21 : 5,836.91 = 1,117.77 : x
  2. Step 2: Convert to fraction form
    3,891.21/5,836.91 = 1,117.77/x
  3. Step 3: Cross multiply
    3,891.21x = 5,836.91 × 1,117.77
  4. Step 4: Simplify right side
    3,891.21x = 6,524,288.12
  5. Step 5: Solve for x
    x = 6,524,288.12/3,891.21
  6. Step 6: Final answer
    x = 1,676.68

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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.