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Finding the Fourth Proportional to 20,135, 27,786.78 and 11,303

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Solution

The fourth proportional to 20,135, 27,786.78 and 11,303 is: 15,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135 : 27,786.78 = 11,303 : x
  2. Step 2: Convert to fraction form
    20,135/27,786.78 = 11,303/x
  3. Step 3: Cross multiply
    20,135x = 27,786.78 × 11,303
  4. Step 4: Simplify right side
    20,135x = 314,073,974.34
  5. Step 5: Solve for x
    x = 314,073,974.34/20,135
  6. Step 6: Final answer
    x = 15,598.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.