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Finding the Fourth Proportional to 27,732.62, 38,289.47 and 16,405.74

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Solution

The fourth proportional to 27,732.62, 38,289.47 and 16,405.74 is: 22,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.62 : 38,289.47 = 16,405.74 : x
  2. Step 2: Convert to fraction form
    27,732.62/38,289.47 = 16,405.74/x
  3. Step 3: Cross multiply
    27,732.62x = 38,289.47 × 16,405.74
  4. Step 4: Simplify right side
    27,732.62x = 628,167,007.53
  5. Step 5: Solve for x
    x = 628,167,007.53/27,732.62
  6. Step 6: Final answer
    x = 22,650.84

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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.