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Finding the Fourth Proportional to 13,814.78, 20,731.03 and 13,763.75

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Solution

The fourth proportional to 13,814.78, 20,731.03 and 13,763.75 is: 20,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.78 : 20,731.03 = 13,763.75 : x
  2. Step 2: Convert to fraction form
    13,814.78/20,731.03 = 13,763.75/x
  3. Step 3: Cross multiply
    13,814.78x = 20,731.03 × 13,763.75
  4. Step 4: Simplify right side
    13,814.78x = 285,336,714.16
  5. Step 5: Solve for x
    x = 285,336,714.16/13,814.78
  6. Step 6: Final answer
    x = 20,654.45

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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.