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Finding the Fourth Proportional to 18,563.87, 27,847.43 and 8,697.87

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Solution

The fourth proportional to 18,563.87, 27,847.43 and 8,697.87 is: 13,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.87 : 27,847.43 = 8,697.87 : x
  2. Step 2: Convert to fraction form
    18,563.87/27,847.43 = 8,697.87/x
  3. Step 3: Cross multiply
    18,563.87x = 27,847.43 × 8,697.87
  4. Step 4: Simplify right side
    18,563.87x = 242,213,282.48
  5. Step 5: Solve for x
    x = 242,213,282.48/18,563.87
  6. Step 6: Final answer
    x = 13,047.57

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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.