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Finding the Fourth Proportional to 18,436.64, 27,657.69 and 6,748.95

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Solution

The fourth proportional to 18,436.64, 27,657.69 and 6,748.95 is: 10,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,436.64 : 27,657.69 = 6,748.95 : x
  2. Step 2: Convert to fraction form
    18,436.64/27,657.69 = 6,748.95/x
  3. Step 3: Cross multiply
    18,436.64x = 27,657.69 × 6,748.95
  4. Step 4: Simplify right side
    18,436.64x = 186,660,240.44
  5. Step 5: Solve for x
    x = 186,660,240.44/18,436.64
  6. Step 6: Final answer
    x = 10,124.42

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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.