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Finding the Fourth Proportional to 3,884.82, 5,826.82 and 1,111.32

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Solution

The fourth proportional to 3,884.82, 5,826.82 and 1,111.32 is: 1,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.82 : 5,826.82 = 1,111.32 : x
  2. Step 2: Convert to fraction form
    3,884.82/5,826.82 = 1,111.32/x
  3. Step 3: Cross multiply
    3,884.82x = 5,826.82 × 1,111.32
  4. Step 4: Simplify right side
    3,884.82x = 6,475,461.60
  5. Step 5: Solve for x
    x = 6,475,461.60/3,884.82
  6. Step 6: Final answer
    x = 1,666.86

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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.