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Finding the Fourth Proportional to 14,757.62, 22,137.20 and 6,438.21

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Solution

The fourth proportional to 14,757.62, 22,137.20 and 6,438.21 is: 9,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.62 : 22,137.20 = 6,438.21 : x
  2. Step 2: Convert to fraction form
    14,757.62/22,137.20 = 6,438.21/x
  3. Step 3: Cross multiply
    14,757.62x = 22,137.20 × 6,438.21
  4. Step 4: Simplify right side
    14,757.62x = 142,523,910.22
  5. Step 5: Solve for x
    x = 142,523,910.22/14,757.62
  6. Step 6: Final answer
    x = 9,657.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.