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Finding the Fourth Proportional to 18,449.26, 27,682 and 9,682.12

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Solution

The fourth proportional to 18,449.26, 27,682 and 9,682.12 is: 14,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,449.26 : 27,682 = 9,682.12 : x
  2. Step 2: Convert to fraction form
    18,449.26/27,682 = 9,682.12/x
  3. Step 3: Cross multiply
    18,449.26x = 27,682 × 9,682.12
  4. Step 4: Simplify right side
    18,449.26x = 268,020,445.84
  5. Step 5: Solve for x
    x = 268,020,445.84/18,449.26
  6. Step 6: Final answer
    x = 14,527.44

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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.