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Finding the Fourth Proportional to 19,755.56, 27,262.74 and 11,372

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Solution

The fourth proportional to 19,755.56, 27,262.74 and 11,372 is: 15,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755.56 : 27,262.74 = 11,372 : x
  2. Step 2: Convert to fraction form
    19,755.56/27,262.74 = 11,372/x
  3. Step 3: Cross multiply
    19,755.56x = 27,262.74 × 11,372
  4. Step 4: Simplify right side
    19,755.56x = 310,031,879.28
  5. Step 5: Solve for x
    x = 310,031,879.28/19,755.56
  6. Step 6: Final answer
    x = 15,693.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.