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Finding the Fourth Proportional to 18,243, 27,344.46 and 7,147.62

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Solution

The fourth proportional to 18,243, 27,344.46 and 7,147.62 is: 10,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,243 : 27,344.46 = 7,147.62 : x
  2. Step 2: Convert to fraction form
    18,243/27,344.46 = 7,147.62/x
  3. Step 3: Cross multiply
    18,243x = 27,344.46 × 7,147.62
  4. Step 4: Simplify right side
    18,243x = 195,447,809.19
  5. Step 5: Solve for x
    x = 195,447,809.19/18,243
  6. Step 6: Final answer
    x = 10,713.58

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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.