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Finding the Fourth Proportional to 13,108.50, 19,665.99 and 3,874.50

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Solution

The fourth proportional to 13,108.50, 19,665.99 and 3,874.50 is: 5,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.50 : 19,665.99 = 3,874.50 : x
  2. Step 2: Convert to fraction form
    13,108.50/19,665.99 = 3,874.50/x
  3. Step 3: Cross multiply
    13,108.50x = 19,665.99 × 3,874.50
  4. Step 4: Simplify right side
    13,108.50x = 76,195,878.26
  5. Step 5: Solve for x
    x = 76,195,878.26/13,108.50
  6. Step 6: Final answer
    x = 5,812.71

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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.