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Finding the Fourth Proportional to 10,805.56, 16,208.34 and 8,343.97

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Solution

The fourth proportional to 10,805.56, 16,208.34 and 8,343.97 is: 12,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.56 : 16,208.34 = 8,343.97 : x
  2. Step 2: Convert to fraction form
    10,805.56/16,208.34 = 8,343.97/x
  3. Step 3: Cross multiply
    10,805.56x = 16,208.34 × 8,343.97
  4. Step 4: Simplify right side
    10,805.56x = 135,241,902.71
  5. Step 5: Solve for x
    x = 135,241,902.71/10,805.56
  6. Step 6: Final answer
    x = 12,515.96

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1.5x scale

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.