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Finding the Fourth Proportional to 8,809.56, 13,204.26 and 3,609

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Solution

The fourth proportional to 8,809.56, 13,204.26 and 3,609 is: 5,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.56 : 13,204.26 = 3,609 : x
  2. Step 2: Convert to fraction form
    8,809.56/13,204.26 = 3,609/x
  3. Step 3: Cross multiply
    8,809.56x = 13,204.26 × 3,609
  4. Step 4: Simplify right side
    8,809.56x = 47,654,174.34
  5. Step 5: Solve for x
    x = 47,654,174.34/8,809.56
  6. Step 6: Final answer
    x = 5,409.37

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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.