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Finding the Fourth Proportional to 8,230.75, 12,347.21 and 2,682.15

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Solution

The fourth proportional to 8,230.75, 12,347.21 and 2,682.15 is: 4,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.75 : 12,347.21 = 2,682.15 : x
  2. Step 2: Convert to fraction form
    8,230.75/12,347.21 = 2,682.15/x
  3. Step 3: Cross multiply
    8,230.75x = 12,347.21 × 2,682.15
  4. Step 4: Simplify right side
    8,230.75x = 33,117,074.25
  5. Step 5: Solve for x
    x = 33,117,074.25/8,230.75
  6. Step 6: Final answer
    x = 4,023.58

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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.