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Finding the Fourth Proportional to 18,657.44, 27,992.64 and 8,276.48

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Solution

The fourth proportional to 18,657.44, 27,992.64 and 8,276.48 is: 12,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.44 : 27,992.64 = 8,276.48 : x
  2. Step 2: Convert to fraction form
    18,657.44/27,992.64 = 8,276.48/x
  3. Step 3: Cross multiply
    18,657.44x = 27,992.64 × 8,276.48
  4. Step 4: Simplify right side
    18,657.44x = 231,680,525.11
  5. Step 5: Solve for x
    x = 231,680,525.11/18,657.44
  6. Step 6: Final answer
    x = 12,417.59

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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.