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Finding the Fourth Proportional to 8,144.12, 12,197.05 and 3,971.06

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Solution

The fourth proportional to 8,144.12, 12,197.05 and 3,971.06 is: 5,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.12 : 12,197.05 = 3,971.06 : x
  2. Step 2: Convert to fraction form
    8,144.12/12,197.05 = 3,971.06/x
  3. Step 3: Cross multiply
    8,144.12x = 12,197.05 × 3,971.06
  4. Step 4: Simplify right side
    8,144.12x = 48,435,192.20
  5. Step 5: Solve for x
    x = 48,435,192.20/8,144.12
  6. Step 6: Final answer
    x = 5,947.26

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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.