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Finding the Fourth Proportional to 15,993.96, 23,986.60 and 8,205

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Solution

The fourth proportional to 15,993.96, 23,986.60 and 8,205 is: 12,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993.96 : 23,986.60 = 8,205 : x
  2. Step 2: Convert to fraction form
    15,993.96/23,986.60 = 8,205/x
  3. Step 3: Cross multiply
    15,993.96x = 23,986.60 × 8,205
  4. Step 4: Simplify right side
    15,993.96x = 196,810,053
  5. Step 5: Solve for x
    x = 196,810,053/15,993.96
  6. Step 6: Final answer
    x = 12,305.27

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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.