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Finding the Fourth Proportional to 12,380.50, 18,573.18 and 5,455

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Solution

The fourth proportional to 12,380.50, 18,573.18 and 5,455 is: 8,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.50 : 18,573.18 = 5,455 : x
  2. Step 2: Convert to fraction form
    12,380.50/18,573.18 = 5,455/x
  3. Step 3: Cross multiply
    12,380.50x = 18,573.18 × 5,455
  4. Step 4: Simplify right side
    12,380.50x = 101,316,696.90
  5. Step 5: Solve for x
    x = 101,316,696.90/12,380.50
  6. Step 6: Final answer
    x = 8,183.57

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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.