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Finding the Fourth Proportional to 18,182.68, 27,246.66 and 12,319

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Solution

The fourth proportional to 18,182.68, 27,246.66 and 12,319 is: 18,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,182.68 : 27,246.66 = 12,319 : x
  2. Step 2: Convert to fraction form
    18,182.68/27,246.66 = 12,319/x
  3. Step 3: Cross multiply
    18,182.68x = 27,246.66 × 12,319
  4. Step 4: Simplify right side
    18,182.68x = 335,651,604.54
  5. Step 5: Solve for x
    x = 335,651,604.54/18,182.68
  6. Step 6: Final answer
    x = 18,459.96

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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.