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Finding the Fourth Proportional to 8,230.72, 12,347.36 and 2,682.78

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Solution

The fourth proportional to 8,230.72, 12,347.36 and 2,682.78 is: 4,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.72 : 12,347.36 = 2,682.78 : x
  2. Step 2: Convert to fraction form
    8,230.72/12,347.36 = 2,682.78/x
  3. Step 3: Cross multiply
    8,230.72x = 12,347.36 × 2,682.78
  4. Step 4: Simplify right side
    8,230.72x = 33,125,200.80
  5. Step 5: Solve for x
    x = 33,125,200.80/8,230.72
  6. Step 6: Final answer
    x = 4,024.58

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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.