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Finding the Fourth Proportional to 8,321.25, 12,422.60 and 8,029.29

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Solution

The fourth proportional to 8,321.25, 12,422.60 and 8,029.29 is: 11,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.25 : 12,422.60 = 8,029.29 : x
  2. Step 2: Convert to fraction form
    8,321.25/12,422.60 = 8,029.29/x
  3. Step 3: Cross multiply
    8,321.25x = 12,422.60 × 8,029.29
  4. Step 4: Simplify right side
    8,321.25x = 99,744,617.81
  5. Step 5: Solve for x
    x = 99,744,617.81/8,321.25
  6. Step 6: Final answer
    x = 11,986.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.