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Finding the Fourth Proportional to 13,986.37, 20,978.84 and 5,220.60

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Solution

The fourth proportional to 13,986.37, 20,978.84 and 5,220.60 is: 7,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.37 : 20,978.84 = 5,220.60 : x
  2. Step 2: Convert to fraction form
    13,986.37/20,978.84 = 5,220.60/x
  3. Step 3: Cross multiply
    13,986.37x = 20,978.84 × 5,220.60
  4. Step 4: Simplify right side
    13,986.37x = 109,522,027.21
  5. Step 5: Solve for x
    x = 109,522,027.21/13,986.37
  6. Step 6: Final answer
    x = 7,830.63

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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.