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Finding the Fourth Proportional to 20,218.64, 30,327.96 and 7,898

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Solution

The fourth proportional to 20,218.64, 30,327.96 and 7,898 is: 11,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.64 : 30,327.96 = 7,898 : x
  2. Step 2: Convert to fraction form
    20,218.64/30,327.96 = 7,898/x
  3. Step 3: Cross multiply
    20,218.64x = 30,327.96 × 7,898
  4. Step 4: Simplify right side
    20,218.64x = 239,530,228.08
  5. Step 5: Solve for x
    x = 239,530,228.08/20,218.64
  6. Step 6: Final answer
    x = 11,847

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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.