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Finding the Fourth Proportional to 18,205.29, 27,318.87 and 7,674.65

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Solution

The fourth proportional to 18,205.29, 27,318.87 and 7,674.65 is: 11,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.29 : 27,318.87 = 7,674.65 : x
  2. Step 2: Convert to fraction form
    18,205.29/27,318.87 = 7,674.65/x
  3. Step 3: Cross multiply
    18,205.29x = 27,318.87 × 7,674.65
  4. Step 4: Simplify right side
    18,205.29x = 209,662,731.50
  5. Step 5: Solve for x
    x = 209,662,731.50/18,205.29
  6. Step 6: Final answer
    x = 11,516.58

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1.5x scale

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.