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Finding the Fourth Proportional to 8,509.39, 11,745.20 and 5,992.25

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Solution

The fourth proportional to 8,509.39, 11,745.20 and 5,992.25 is: 8,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.39 : 11,745.20 = 5,992.25 : x
  2. Step 2: Convert to fraction form
    8,509.39/11,745.20 = 5,992.25/x
  3. Step 3: Cross multiply
    8,509.39x = 11,745.20 × 5,992.25
  4. Step 4: Simplify right side
    8,509.39x = 70,380,130.95
  5. Step 5: Solve for x
    x = 70,380,130.95/8,509.39
  6. Step 6: Final answer
    x = 8,270.88

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.