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Finding the Fourth Proportional to 13,909.91, 20,845.41 and 6,495.98

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Solution

The fourth proportional to 13,909.91, 20,845.41 and 6,495.98 is: 9,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.91 : 20,845.41 = 6,495.98 : x
  2. Step 2: Convert to fraction form
    13,909.91/20,845.41 = 6,495.98/x
  3. Step 3: Cross multiply
    13,909.91x = 20,845.41 × 6,495.98
  4. Step 4: Simplify right side
    13,909.91x = 135,411,262.22
  5. Step 5: Solve for x
    x = 135,411,262.22/13,909.91
  6. Step 6: Final answer
    x = 9,734.88

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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.