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Finding the Fourth Proportional to 13,321.75, 19,982.64 and 4,087.75

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Solution

The fourth proportional to 13,321.75, 19,982.64 and 4,087.75 is: 6,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.75 : 19,982.64 = 4,087.75 : x
  2. Step 2: Convert to fraction form
    13,321.75/19,982.64 = 4,087.75/x
  3. Step 3: Cross multiply
    13,321.75x = 19,982.64 × 4,087.75
  4. Step 4: Simplify right side
    13,321.75x = 81,684,036.66
  5. Step 5: Solve for x
    x = 81,684,036.66/13,321.75
  6. Step 6: Final answer
    x = 6,131.63

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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.