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Finding the Fourth Proportional to 8,108.94, 12,144.94 and 5,645.60

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Solution

The fourth proportional to 8,108.94, 12,144.94 and 5,645.60 is: 8,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.94 : 12,144.94 = 5,645.60 : x
  2. Step 2: Convert to fraction form
    8,108.94/12,144.94 = 5,645.60/x
  3. Step 3: Cross multiply
    8,108.94x = 12,144.94 × 5,645.60
  4. Step 4: Simplify right side
    8,108.94x = 68,565,473.26
  5. Step 5: Solve for x
    x = 68,565,473.26/8,108.94
  6. Step 6: Final answer
    x = 8,455.54

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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.