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Finding the Fourth Proportional to 18,647.76, 27,976.56 and 10,849.92

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Solution

The fourth proportional to 18,647.76, 27,976.56 and 10,849.92 is: 16,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.76 : 27,976.56 = 10,849.92 : x
  2. Step 2: Convert to fraction form
    18,647.76/27,976.56 = 10,849.92/x
  3. Step 3: Cross multiply
    18,647.76x = 27,976.56 × 10,849.92
  4. Step 4: Simplify right side
    18,647.76x = 303,543,437.88
  5. Step 5: Solve for x
    x = 303,543,437.88/18,647.76
  6. Step 6: Final answer
    x = 16,277.74

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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.