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Finding the Fourth Proportional to 10,174.50, 15,262.04 and 3,249

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Solution

The fourth proportional to 10,174.50, 15,262.04 and 3,249 is: 4,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.50 : 15,262.04 = 3,249 : x
  2. Step 2: Convert to fraction form
    10,174.50/15,262.04 = 3,249/x
  3. Step 3: Cross multiply
    10,174.50x = 15,262.04 × 3,249
  4. Step 4: Simplify right side
    10,174.50x = 49,586,376.08
  5. Step 5: Solve for x
    x = 49,586,376.08/10,174.50
  6. Step 6: Final answer
    x = 4,873.59

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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.