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Finding the Fourth Proportional to 11,993.85, 17,987.13 and 4,200.84

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Solution

The fourth proportional to 11,993.85, 17,987.13 and 4,200.84 is: 6,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.85 : 17,987.13 = 4,200.84 : x
  2. Step 2: Convert to fraction form
    11,993.85/17,987.13 = 4,200.84/x
  3. Step 3: Cross multiply
    11,993.85x = 17,987.13 × 4,200.84
  4. Step 4: Simplify right side
    11,993.85x = 75,561,055.19
  5. Step 5: Solve for x
    x = 75,561,055.19/11,993.85
  6. Step 6: Final answer
    x = 6,299.98

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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.