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Finding the Fourth Proportional to 11,993.12, 17,994.86 and 6,439.98

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Solution

The fourth proportional to 11,993.12, 17,994.86 and 6,439.98 is: 9,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.12 : 17,994.86 = 6,439.98 : x
  2. Step 2: Convert to fraction form
    11,993.12/17,994.86 = 6,439.98/x
  3. Step 3: Cross multiply
    11,993.12x = 17,994.86 × 6,439.98
  4. Step 4: Simplify right side
    11,993.12x = 115,886,538.50
  5. Step 5: Solve for x
    x = 115,886,538.50/11,993.12
  6. Step 6: Final answer
    x = 9,662.75

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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.