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Finding the Fourth Proportional to 27,732.86, 38,289.82 and 16,405.99

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Solution

The fourth proportional to 27,732.86, 38,289.82 and 16,405.99 is: 22,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.86 : 38,289.82 = 16,405.99 : x
  2. Step 2: Convert to fraction form
    27,732.86/38,289.82 = 16,405.99/x
  3. Step 3: Cross multiply
    27,732.86x = 38,289.82 × 16,405.99
  4. Step 4: Simplify right side
    27,732.86x = 628,182,404.02
  5. Step 5: Solve for x
    x = 628,182,404.02/27,732.86
  6. Step 6: Final answer
    x = 22,651.19

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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.