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Finding the Fourth Proportional to 18,143.54, 27,202.94 and 9,237

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Solution

The fourth proportional to 18,143.54, 27,202.94 and 9,237 is: 13,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,143.54 : 27,202.94 = 9,237 : x
  2. Step 2: Convert to fraction form
    18,143.54/27,202.94 = 9,237/x
  3. Step 3: Cross multiply
    18,143.54x = 27,202.94 × 9,237
  4. Step 4: Simplify right side
    18,143.54x = 251,273,556.78
  5. Step 5: Solve for x
    x = 251,273,556.78/18,143.54
  6. Step 6: Final answer
    x = 13,849.20

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1.5x scale

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.