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Finding the Fourth Proportional to 20,644, 28,489.24 and 11,212.56

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Solution

The fourth proportional to 20,644, 28,489.24 and 11,212.56 is: 15,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644 : 28,489.24 = 11,212.56 : x
  2. Step 2: Convert to fraction form
    20,644/28,489.24 = 11,212.56/x
  3. Step 3: Cross multiply
    20,644x = 28,489.24 × 11,212.56
  4. Step 4: Simplify right side
    20,644x = 319,437,312.85
  5. Step 5: Solve for x
    x = 319,437,312.85/20,644
  6. Step 6: Final answer
    x = 15,473.62

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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.