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Finding the Fourth Proportional to 23,609.76, 35,375.68 and 13,721.28

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Solution

The fourth proportional to 23,609.76, 35,375.68 and 13,721.28 is: 20,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.76 : 35,375.68 = 13,721.28 : x
  2. Step 2: Convert to fraction form
    23,609.76/35,375.68 = 13,721.28/x
  3. Step 3: Cross multiply
    23,609.76x = 35,375.68 × 13,721.28
  4. Step 4: Simplify right side
    23,609.76x = 485,399,610.47
  5. Step 5: Solve for x
    x = 485,399,610.47/23,609.76
  6. Step 6: Final answer
    x = 20,559.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.