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Finding the Fourth Proportional to 13,993.66, 20,994.10 and 5,228.64

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Solution

The fourth proportional to 13,993.66, 20,994.10 and 5,228.64 is: 7,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.66 : 20,994.10 = 5,228.64 : x
  2. Step 2: Convert to fraction form
    13,993.66/20,994.10 = 5,228.64/x
  3. Step 3: Cross multiply
    13,993.66x = 20,994.10 × 5,228.64
  4. Step 4: Simplify right side
    13,993.66x = 109,770,591.02
  5. Step 5: Solve for x
    x = 109,770,591.02/13,993.66
  6. Step 6: Final answer
    x = 7,844.31

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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.