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Finding the Fourth Proportional to 20,656, 28,504.50 and 11,224.36

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Solution

The fourth proportional to 20,656, 28,504.50 and 11,224.36 is: 15,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656 : 28,504.50 = 11,224.36 : x
  2. Step 2: Convert to fraction form
    20,656/28,504.50 = 11,224.36/x
  3. Step 3: Cross multiply
    20,656x = 28,504.50 × 11,224.36
  4. Step 4: Simplify right side
    20,656x = 319,944,769.62
  5. Step 5: Solve for x
    x = 319,944,769.62/20,656
  6. Step 6: Final answer
    x = 15,489.19

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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.