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Finding the Fourth Proportional to 20,109, 27,750.42 and 11,156.34

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Solution

The fourth proportional to 20,109, 27,750.42 and 11,156.34 is: 15,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109 : 27,750.42 = 11,156.34 : x
  2. Step 2: Convert to fraction form
    20,109/27,750.42 = 11,156.34/x
  3. Step 3: Cross multiply
    20,109x = 27,750.42 × 11,156.34
  4. Step 4: Simplify right side
    20,109x = 309,593,120.66
  5. Step 5: Solve for x
    x = 309,593,120.66/20,109
  6. Step 6: Final answer
    x = 15,395.75

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1.5x scale

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.