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Finding the Fourth Proportional to 18,661.68, 28,002.24 and 8,271

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Solution

The fourth proportional to 18,661.68, 28,002.24 and 8,271 is: 12,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.68 : 28,002.24 = 8,271 : x
  2. Step 2: Convert to fraction form
    18,661.68/28,002.24 = 8,271/x
  3. Step 3: Cross multiply
    18,661.68x = 28,002.24 × 8,271
  4. Step 4: Simplify right side
    18,661.68x = 231,606,527.04
  5. Step 5: Solve for x
    x = 231,606,527.04/18,661.68
  6. Step 6: Final answer
    x = 12,410.81

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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.