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Finding the Fourth Proportional to 18,489.80, 27,716.70 and 10,584.20

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Solution

The fourth proportional to 18,489.80, 27,716.70 and 10,584.20 is: 15,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.80 : 27,716.70 = 10,584.20 : x
  2. Step 2: Convert to fraction form
    18,489.80/27,716.70 = 10,584.20/x
  3. Step 3: Cross multiply
    18,489.80x = 27,716.70 × 10,584.20
  4. Step 4: Simplify right side
    18,489.80x = 293,359,096.14
  5. Step 5: Solve for x
    x = 293,359,096.14/18,489.80
  6. Step 6: Final answer
    x = 15,866.00

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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.