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Finding the Fourth Proportional to 10,000.20, 13,795.38 and 6,466.44

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Solution

The fourth proportional to 10,000.20, 13,795.38 and 6,466.44 is: 8,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.20 : 13,795.38 = 6,466.44 : x
  2. Step 2: Convert to fraction form
    10,000.20/13,795.38 = 6,466.44/x
  3. Step 3: Cross multiply
    10,000.20x = 13,795.38 × 6,466.44
  4. Step 4: Simplify right side
    10,000.20x = 89,206,997.05
  5. Step 5: Solve for x
    x = 89,206,997.05/10,000.20
  6. Step 6: Final answer
    x = 8,920.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.