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Finding the Fourth Proportional to 18,553.88, 27,765.13 and 11,537.20

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Solution

The fourth proportional to 18,553.88, 27,765.13 and 11,537.20 is: 17,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.88 : 27,765.13 = 11,537.20 : x
  2. Step 2: Convert to fraction form
    18,553.88/27,765.13 = 11,537.20/x
  3. Step 3: Cross multiply
    18,553.88x = 27,765.13 × 11,537.20
  4. Step 4: Simplify right side
    18,553.88x = 320,331,828.99
  5. Step 5: Solve for x
    x = 320,331,828.99/18,553.88
  6. Step 6: Final answer
    x = 17,264.95

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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.