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Finding the Fourth Proportional to 20,934, 28,889.13 and 11,502.77

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Solution

The fourth proportional to 20,934, 28,889.13 and 11,502.77 is: 15,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934 : 28,889.13 = 11,502.77 : x
  2. Step 2: Convert to fraction form
    20,934/28,889.13 = 11,502.77/x
  3. Step 3: Cross multiply
    20,934x = 28,889.13 × 11,502.77
  4. Step 4: Simplify right side
    20,934x = 332,304,873.44
  5. Step 5: Solve for x
    x = 332,304,873.44/20,934
  6. Step 6: Final answer
    x = 15,873.93

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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.