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Finding the Fourth Proportional to 27,892, 38,499.60 and 17,956

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Solution

The fourth proportional to 27,892, 38,499.60 and 17,956 is: 24,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892 : 38,499.60 = 17,956 : x
  2. Step 2: Convert to fraction form
    27,892/38,499.60 = 17,956/x
  3. Step 3: Cross multiply
    27,892x = 38,499.60 × 17,956
  4. Step 4: Simplify right side
    27,892x = 691,298,817.60
  5. Step 5: Solve for x
    x = 691,298,817.60/27,892
  6. Step 6: Final answer
    x = 24,784.84

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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.