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Finding the Fourth Proportional to 13,757.55, 20,633 and 6,354.89

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Solution

The fourth proportional to 13,757.55, 20,633 and 6,354.89 is: 9,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.55 : 20,633 = 6,354.89 : x
  2. Step 2: Convert to fraction form
    13,757.55/20,633 = 6,354.89/x
  3. Step 3: Cross multiply
    13,757.55x = 20,633 × 6,354.89
  4. Step 4: Simplify right side
    13,757.55x = 131,120,445.37
  5. Step 5: Solve for x
    x = 131,120,445.37/13,757.55
  6. Step 6: Final answer
    x = 9,530.80

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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.