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Finding the Fourth Proportional to 20,080, 27,712.80 and 11,128.96

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Solution

The fourth proportional to 20,080, 27,712.80 and 11,128.96 is: 15,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080 : 27,712.80 = 11,128.96 : x
  2. Step 2: Convert to fraction form
    20,080/27,712.80 = 11,128.96/x
  3. Step 3: Cross multiply
    20,080x = 27,712.80 × 11,128.96
  4. Step 4: Simplify right side
    20,080x = 308,414,642.69
  5. Step 5: Solve for x
    x = 308,414,642.69/20,080
  6. Step 6: Final answer
    x = 15,359.29

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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.