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Finding the Fourth Proportional to 18,441, 27,661.23 and 8,574.75

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Solution

The fourth proportional to 18,441, 27,661.23 and 8,574.75 is: 12,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,441 : 27,661.23 = 8,574.75 : x
  2. Step 2: Convert to fraction form
    18,441/27,661.23 = 8,574.75/x
  3. Step 3: Cross multiply
    18,441x = 27,661.23 × 8,574.75
  4. Step 4: Simplify right side
    18,441x = 237,188,131.94
  5. Step 5: Solve for x
    x = 237,188,131.94/18,441
  6. Step 6: Final answer
    x = 12,862.00

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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.