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Finding the Fourth Proportional to 20,085, 27,714.88 and 11,132.64

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Solution

The fourth proportional to 20,085, 27,714.88 and 11,132.64 is: 15,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085 : 27,714.88 = 11,132.64 : x
  2. Step 2: Convert to fraction form
    20,085/27,714.88 = 11,132.64/x
  3. Step 3: Cross multiply
    20,085x = 27,714.88 × 11,132.64
  4. Step 4: Simplify right side
    20,085x = 308,539,781.68
  5. Step 5: Solve for x
    x = 308,539,781.68/20,085
  6. Step 6: Final answer
    x = 15,361.70

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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.