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Finding the Fourth Proportional to 18,427.76, 27,620 and 8,546.23

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Solution

The fourth proportional to 18,427.76, 27,620 and 8,546.23 is: 12,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427.76 : 27,620 = 8,546.23 : x
  2. Step 2: Convert to fraction form
    18,427.76/27,620 = 8,546.23/x
  3. Step 3: Cross multiply
    18,427.76x = 27,620 × 8,546.23
  4. Step 4: Simplify right side
    18,427.76x = 236,046,872.60
  5. Step 5: Solve for x
    x = 236,046,872.60/18,427.76
  6. Step 6: Final answer
    x = 12,809.31

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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.