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Finding the Fourth Proportional to 10,166.50, 15,250.02 and 3,241

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Solution

The fourth proportional to 10,166.50, 15,250.02 and 3,241 is: 4,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.50 : 15,250.02 = 3,241 : x
  2. Step 2: Convert to fraction form
    10,166.50/15,250.02 = 3,241/x
  3. Step 3: Cross multiply
    10,166.50x = 15,250.02 × 3,241
  4. Step 4: Simplify right side
    10,166.50x = 49,425,314.82
  5. Step 5: Solve for x
    x = 49,425,314.82/10,166.50
  6. Step 6: Final answer
    x = 4,861.59

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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.