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Finding the Fourth Proportional to 38,892, 53,670.96 and 21,228

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Solution

The fourth proportional to 38,892, 53,670.96 and 21,228 is: 29,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,892 : 53,670.96 = 21,228 : x
  2. Step 2: Convert to fraction form
    38,892/53,670.96 = 21,228/x
  3. Step 3: Cross multiply
    38,892x = 53,670.96 × 21,228
  4. Step 4: Simplify right side
    38,892x = 1,139,327,138.88
  5. Step 5: Solve for x
    x = 1,139,327,138.88/38,892
  6. Step 6: Final answer
    x = 29,294.64

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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.