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Finding the Fourth Proportional to 18,528.42, 27,803.49 and 6,849.78

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Solution

The fourth proportional to 18,528.42, 27,803.49 and 6,849.78 is: 10,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,528.42 : 27,803.49 = 6,849.78 : x
  2. Step 2: Convert to fraction form
    18,528.42/27,803.49 = 6,849.78/x
  3. Step 3: Cross multiply
    18,528.42x = 27,803.49 × 6,849.78
  4. Step 4: Simplify right side
    18,528.42x = 190,447,789.73
  5. Step 5: Solve for x
    x = 190,447,789.73/18,528.42
  6. Step 6: Final answer
    x = 10,278.68

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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.