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Finding the Fourth Proportional to 18,102.54, 27,147.72 and 8,101.02

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Solution

The fourth proportional to 18,102.54, 27,147.72 and 8,101.02 is: 12,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.54 : 27,147.72 = 8,101.02 : x
  2. Step 2: Convert to fraction form
    18,102.54/27,147.72 = 8,101.02/x
  3. Step 3: Cross multiply
    18,102.54x = 27,147.72 × 8,101.02
  4. Step 4: Simplify right side
    18,102.54x = 219,924,222.67
  5. Step 5: Solve for x
    x = 219,924,222.67/18,102.54
  6. Step 6: Final answer
    x = 12,148.80

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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.