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Finding the Fourth Proportional to 18,142.52, 27,197.32 and 6,453

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Solution

The fourth proportional to 18,142.52, 27,197.32 and 6,453 is: 9,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.52 : 27,197.32 = 6,453 : x
  2. Step 2: Convert to fraction form
    18,142.52/27,197.32 = 6,453/x
  3. Step 3: Cross multiply
    18,142.52x = 27,197.32 × 6,453
  4. Step 4: Simplify right side
    18,142.52x = 175,504,305.96
  5. Step 5: Solve for x
    x = 175,504,305.96/18,142.52
  6. Step 6: Final answer
    x = 9,673.65

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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.