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Finding the Fourth Proportional to 20,147.48, 27,803.34 and 11,195

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Solution

The fourth proportional to 20,147.48, 27,803.34 and 11,195 is: 15,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.48 : 27,803.34 = 11,195 : x
  2. Step 2: Convert to fraction form
    20,147.48/27,803.34 = 11,195/x
  3. Step 3: Cross multiply
    20,147.48x = 27,803.34 × 11,195
  4. Step 4: Simplify right side
    20,147.48x = 311,258,391.30
  5. Step 5: Solve for x
    x = 311,258,391.30/20,147.48
  6. Step 6: Final answer
    x = 15,449.00

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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.