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Finding the Fourth Proportional to 20,281.08, 30,421.68 and 6,241

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Solution

The fourth proportional to 20,281.08, 30,421.68 and 6,241 is: 9,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.08 : 30,421.68 = 6,241 : x
  2. Step 2: Convert to fraction form
    20,281.08/30,421.68 = 6,241/x
  3. Step 3: Cross multiply
    20,281.08x = 30,421.68 × 6,241
  4. Step 4: Simplify right side
    20,281.08x = 189,861,704.88
  5. Step 5: Solve for x
    x = 189,861,704.88/20,281.08
  6. Step 6: Final answer
    x = 9,361.52

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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.