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Finding the Fourth Proportional to 20,080.50, 27,711.07 and 11,127.97

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Solution

The fourth proportional to 20,080.50, 27,711.07 and 11,127.97 is: 15,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080.50 : 27,711.07 = 11,127.97 : x
  2. Step 2: Convert to fraction form
    20,080.50/27,711.07 = 11,127.97/x
  3. Step 3: Cross multiply
    20,080.50x = 27,711.07 × 11,127.97
  4. Step 4: Simplify right side
    20,080.50x = 308,367,955.63
  5. Step 5: Solve for x
    x = 308,367,955.63/20,080.50
  6. Step 6: Final answer
    x = 15,356.59

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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.