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Finding the Fourth Proportional to 20,049.12, 27,670.71 and 11,549.58

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Solution

The fourth proportional to 20,049.12, 27,670.71 and 11,549.58 is: 15,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.12 : 27,670.71 = 11,549.58 : x
  2. Step 2: Convert to fraction form
    20,049.12/27,670.71 = 11,549.58/x
  3. Step 3: Cross multiply
    20,049.12x = 27,670.71 × 11,549.58
  4. Step 4: Simplify right side
    20,049.12x = 319,585,078.80
  5. Step 5: Solve for x
    x = 319,585,078.80/20,049.12
  6. Step 6: Final answer
    x = 15,940.11

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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.