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Finding the Fourth Proportional to 10,805.50, 16,213.13 and 6,188.50

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Solution

The fourth proportional to 10,805.50, 16,213.13 and 6,188.50 is: 9,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.50 : 16,213.13 = 6,188.50 : x
  2. Step 2: Convert to fraction form
    10,805.50/16,213.13 = 6,188.50/x
  3. Step 3: Cross multiply
    10,805.50x = 16,213.13 × 6,188.50
  4. Step 4: Simplify right side
    10,805.50x = 100,334,955.01
  5. Step 5: Solve for x
    x = 100,334,955.01/10,805.50
  6. Step 6: Final answer
    x = 9,285.54

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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.