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Finding the Fourth Proportional to 18,504.14, 27,765.32 and 8,641.98

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Solution

The fourth proportional to 18,504.14, 27,765.32 and 8,641.98 is: 12,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,504.14 : 27,765.32 = 8,641.98 : x
  2. Step 2: Convert to fraction form
    18,504.14/27,765.32 = 8,641.98/x
  3. Step 3: Cross multiply
    18,504.14x = 27,765.32 × 8,641.98
  4. Step 4: Simplify right side
    18,504.14x = 239,947,296.92
  5. Step 5: Solve for x
    x = 239,947,296.92/18,504.14
  6. Step 6: Final answer
    x = 12,967.23

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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.