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Finding the Fourth Proportional to 13,571.54, 20,354.03 and 5,669.78

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Solution

The fourth proportional to 13,571.54, 20,354.03 and 5,669.78 is: 8,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.54 : 20,354.03 = 5,669.78 : x
  2. Step 2: Convert to fraction form
    13,571.54/20,354.03 = 5,669.78/x
  3. Step 3: Cross multiply
    13,571.54x = 20,354.03 × 5,669.78
  4. Step 4: Simplify right side
    13,571.54x = 115,402,843.86
  5. Step 5: Solve for x
    x = 115,402,843.86/13,571.54
  6. Step 6: Final answer
    x = 8,503.30

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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.