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Finding the Fourth Proportional to 13,978.08, 20,989.44 and 8,138.88

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Solution

The fourth proportional to 13,978.08, 20,989.44 and 8,138.88 is: 12,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.08 : 20,989.44 = 8,138.88 : x
  2. Step 2: Convert to fraction form
    13,978.08/20,989.44 = 8,138.88/x
  3. Step 3: Cross multiply
    13,978.08x = 20,989.44 × 8,138.88
  4. Step 4: Simplify right side
    13,978.08x = 170,830,533.43
  5. Step 5: Solve for x
    x = 170,830,533.43/13,978.08
  6. Step 6: Final answer
    x = 12,221.32

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1.5x scale

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.