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Finding the Fourth Proportional to 22,814.35, 31,481.75 and 12,741.39

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Solution

The fourth proportional to 22,814.35, 31,481.75 and 12,741.39 is: 17,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.35 : 31,481.75 = 12,741.39 : x
  2. Step 2: Convert to fraction form
    22,814.35/31,481.75 = 12,741.39/x
  3. Step 3: Cross multiply
    22,814.35x = 31,481.75 × 12,741.39
  4. Step 4: Simplify right side
    22,814.35x = 401,121,214.82
  5. Step 5: Solve for x
    x = 401,121,214.82/22,814.35
  6. Step 6: Final answer
    x = 17,581.97

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