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Finding the Fourth Proportional to 5,671, 7,826.26 and 3,187

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Solution

The fourth proportional to 5,671, 7,826.26 and 3,187 is: 4,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671 : 7,826.26 = 3,187 : x
  2. Step 2: Convert to fraction form
    5,671/7,826.26 = 3,187/x
  3. Step 3: Cross multiply
    5,671x = 7,826.26 × 3,187
  4. Step 4: Simplify right side
    5,671x = 24,942,290.62
  5. Step 5: Solve for x
    x = 24,942,290.62/5,671
  6. Step 6: Final answer
    x = 4,398.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.