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Finding the Fourth Proportional to 13,714.78, 20,572.20 and 4,955.88

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Solution

The fourth proportional to 13,714.78, 20,572.20 and 4,955.88 is: 7,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.78 : 20,572.20 = 4,955.88 : x
  2. Step 2: Convert to fraction form
    13,714.78/20,572.20 = 4,955.88/x
  3. Step 3: Cross multiply
    13,714.78x = 20,572.20 × 4,955.88
  4. Step 4: Simplify right side
    13,714.78x = 101,953,354.54
  5. Step 5: Solve for x
    x = 101,953,354.54/13,714.78
  6. Step 6: Final answer
    x = 7,433.83

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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.