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Finding the Fourth Proportional to 8,118, 11,202.84 and 4,392

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Solution

The fourth proportional to 8,118, 11,202.84 and 4,392 is: 6,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118 : 11,202.84 = 4,392 : x
  2. Step 2: Convert to fraction form
    8,118/11,202.84 = 4,392/x
  3. Step 3: Cross multiply
    8,118x = 11,202.84 × 4,392
  4. Step 4: Simplify right side
    8,118x = 49,202,873.28
  5. Step 5: Solve for x
    x = 49,202,873.28/8,118
  6. Step 6: Final answer
    x = 6,060.96

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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.