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Finding the Fourth Proportional to 13,809, 20,714.40 and 3,949.08

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Solution

The fourth proportional to 13,809, 20,714.40 and 3,949.08 is: 5,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809 : 20,714.40 = 3,949.08 : x
  2. Step 2: Convert to fraction form
    13,809/20,714.40 = 3,949.08/x
  3. Step 3: Cross multiply
    13,809x = 20,714.40 × 3,949.08
  4. Step 4: Simplify right side
    13,809x = 81,802,822.75
  5. Step 5: Solve for x
    x = 81,802,822.75/13,809
  6. Step 6: Final answer
    x = 5,923.88

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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.