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Finding the Fourth Proportional to 20,251.76, 30,327.42 and 14,018

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Solution

The fourth proportional to 20,251.76, 30,327.42 and 14,018 is: 20,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.76 : 30,327.42 = 14,018 : x
  2. Step 2: Convert to fraction form
    20,251.76/30,327.42 = 14,018/x
  3. Step 3: Cross multiply
    20,251.76x = 30,327.42 × 14,018
  4. Step 4: Simplify right side
    20,251.76x = 425,129,773.56
  5. Step 5: Solve for x
    x = 425,129,773.56/20,251.76
  6. Step 6: Final answer
    x = 20,992.24

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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.