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Finding the Fourth Proportional to 19,992, 27,588.96 and 11,613.60

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Solution

The fourth proportional to 19,992, 27,588.96 and 11,613.60 is: 16,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992 : 27,588.96 = 11,613.60 : x
  2. Step 2: Convert to fraction form
    19,992/27,588.96 = 11,613.60/x
  3. Step 3: Cross multiply
    19,992x = 27,588.96 × 11,613.60
  4. Step 4: Simplify right side
    19,992x = 320,407,145.86
  5. Step 5: Solve for x
    x = 320,407,145.86/19,992
  6. Step 6: Final answer
    x = 16,026.77

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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.