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Finding the Fourth Proportional to 18,103.30, 27,148.86 and 8,101.78

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Solution

The fourth proportional to 18,103.30, 27,148.86 and 8,101.78 is: 12,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,103.30 : 27,148.86 = 8,101.78 : x
  2. Step 2: Convert to fraction form
    18,103.30/27,148.86 = 8,101.78/x
  3. Step 3: Cross multiply
    18,103.30x = 27,148.86 × 8,101.78
  4. Step 4: Simplify right side
    18,103.30x = 219,954,090.97
  5. Step 5: Solve for x
    x = 219,954,090.97/18,103.30
  6. Step 6: Final answer
    x = 12,149.94

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1.5x scale

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.