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Finding the Fourth Proportional to 13,225, 19,843.90 and 5,436.04

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Solution

The fourth proportional to 13,225, 19,843.90 and 5,436.04 is: 8,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225 : 19,843.90 = 5,436.04 : x
  2. Step 2: Convert to fraction form
    13,225/19,843.90 = 5,436.04/x
  3. Step 3: Cross multiply
    13,225x = 19,843.90 × 5,436.04
  4. Step 4: Simplify right side
    13,225x = 107,872,234.16
  5. Step 5: Solve for x
    x = 107,872,234.16/13,225
  6. Step 6: Final answer
    x = 8,156.69

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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.