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Finding the Fourth Proportional to 20,243.76, 27,936.81 and 11,291.64

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Solution

The fourth proportional to 20,243.76, 27,936.81 and 11,291.64 is: 15,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243.76 : 27,936.81 = 11,291.64 : x
  2. Step 2: Convert to fraction form
    20,243.76/27,936.81 = 11,291.64/x
  3. Step 3: Cross multiply
    20,243.76x = 27,936.81 × 11,291.64
  4. Step 4: Simplify right side
    20,243.76x = 315,452,401.27
  5. Step 5: Solve for x
    x = 315,452,401.27/20,243.76
  6. Step 6: Final answer
    x = 15,582.70

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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.