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Finding the Fourth Proportional to 38,701.96, 53,409.29 and 21,709.97

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Solution

The fourth proportional to 38,701.96, 53,409.29 and 21,709.97 is: 29,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.96 : 53,409.29 = 21,709.97 : x
  2. Step 2: Convert to fraction form
    38,701.96/53,409.29 = 21,709.97/x
  3. Step 3: Cross multiply
    38,701.96x = 53,409.29 × 21,709.97
  4. Step 4: Simplify right side
    38,701.96x = 1,159,514,083.62
  5. Step 5: Solve for x
    x = 1,159,514,083.62/38,701.96
  6. Step 6: Final answer
    x = 29,960.09

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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.