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Finding the Fourth Proportional to 20,118, 27,762.84 and 11,286

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Solution

The fourth proportional to 20,118, 27,762.84 and 11,286 is: 15,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118 : 27,762.84 = 11,286 : x
  2. Step 2: Convert to fraction form
    20,118/27,762.84 = 11,286/x
  3. Step 3: Cross multiply
    20,118x = 27,762.84 × 11,286
  4. Step 4: Simplify right side
    20,118x = 313,331,412.24
  5. Step 5: Solve for x
    x = 313,331,412.24/20,118
  6. Step 6: Final answer
    x = 15,574.68

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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.