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Finding the Fourth Proportional to 13,632, 20,435.86 and 5,310.07

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Solution

The fourth proportional to 13,632, 20,435.86 and 5,310.07 is: 7,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632 : 20,435.86 = 5,310.07 : x
  2. Step 2: Convert to fraction form
    13,632/20,435.86 = 5,310.07/x
  3. Step 3: Cross multiply
    13,632x = 20,435.86 × 5,310.07
  4. Step 4: Simplify right side
    13,632x = 108,515,847.11
  5. Step 5: Solve for x
    x = 108,515,847.11/13,632
  6. Step 6: Final answer
    x = 7,960.38

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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.