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Finding the Fourth Proportional to 13,635, 20,437.92 and 5,735.61

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Solution

The fourth proportional to 13,635, 20,437.92 and 5,735.61 is: 8,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635 : 20,437.92 = 5,735.61 : x
  2. Step 2: Convert to fraction form
    13,635/20,437.92 = 5,735.61/x
  3. Step 3: Cross multiply
    13,635x = 20,437.92 × 5,735.61
  4. Step 4: Simplify right side
    13,635x = 117,223,938.33
  5. Step 5: Solve for x
    x = 117,223,938.33/13,635
  6. Step 6: Final answer
    x = 8,597.28

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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.