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Finding the Fourth Proportional to 18,568.61, 27,857.52 and 9,213.04

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Solution

The fourth proportional to 18,568.61, 27,857.52 and 9,213.04 is: 13,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,568.61 : 27,857.52 = 9,213.04 : x
  2. Step 2: Convert to fraction form
    18,568.61/27,857.52 = 9,213.04/x
  3. Step 3: Cross multiply
    18,568.61x = 27,857.52 × 9,213.04
  4. Step 4: Simplify right side
    18,568.61x = 256,652,480.88
  5. Step 5: Solve for x
    x = 256,652,480.88/18,568.61
  6. Step 6: Final answer
    x = 13,821.85

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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.