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Finding the Fourth Proportional to 6,774, 10,161.18 and 2,157

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Solution

The fourth proportional to 6,774, 10,161.18 and 2,157 is: 3,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774 : 10,161.18 = 2,157 : x
  2. Step 2: Convert to fraction form
    6,774/10,161.18 = 2,157/x
  3. Step 3: Cross multiply
    6,774x = 10,161.18 × 2,157
  4. Step 4: Simplify right side
    6,774x = 21,917,665.26
  5. Step 5: Solve for x
    x = 21,917,665.26/6,774
  6. Step 6: Final answer
    x = 3,235.56

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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.