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Finding the Fourth Proportional to 13,906.98, 20,847.51 and 8,361.72

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Solution

The fourth proportional to 13,906.98, 20,847.51 and 8,361.72 is: 12,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.98 : 20,847.51 = 8,361.72 : x
  2. Step 2: Convert to fraction form
    13,906.98/20,847.51 = 8,361.72/x
  3. Step 3: Cross multiply
    13,906.98x = 20,847.51 × 8,361.72
  4. Step 4: Simplify right side
    13,906.98x = 174,321,041.32
  5. Step 5: Solve for x
    x = 174,321,041.32/13,906.98
  6. Step 6: Final answer
    x = 12,534.79

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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.