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Finding the Fourth Proportional to 18,498.18, 27,754.56 and 8,102.64

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Solution

The fourth proportional to 18,498.18, 27,754.56 and 8,102.64 is: 12,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,498.18 : 27,754.56 = 8,102.64 : x
  2. Step 2: Convert to fraction form
    18,498.18/27,754.56 = 8,102.64/x
  3. Step 3: Cross multiply
    18,498.18x = 27,754.56 × 8,102.64
  4. Step 4: Simplify right side
    18,498.18x = 224,885,208.04
  5. Step 5: Solve for x
    x = 224,885,208.04/18,498.18
  6. Step 6: Final answer
    x = 12,157.15

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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.