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Finding the Fourth Proportional to 36,154, 54,231 and 11,530

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Solution

The fourth proportional to 36,154, 54,231 and 11,530 is: 17,295

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,154 : 54,231 = 11,530 : x
  2. Step 2: Convert to fraction form
    36,154/54,231 = 11,530/x
  3. Step 3: Cross multiply
    36,154x = 54,231 × 11,530
  4. Step 4: Simplify right side
    36,154x = 625,283,430
  5. Step 5: Solve for x
    x = 625,283,430/36,154
  6. Step 6: Final answer
    x = 17,295

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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.