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Finding the Fourth Proportional to 8,076.40, 12,107.42 and 3,144.90

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Solution

The fourth proportional to 8,076.40, 12,107.42 and 3,144.90 is: 4,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.40 : 12,107.42 = 3,144.90 : x
  2. Step 2: Convert to fraction form
    8,076.40/12,107.42 = 3,144.90/x
  3. Step 3: Cross multiply
    8,076.40x = 12,107.42 × 3,144.90
  4. Step 4: Simplify right side
    8,076.40x = 38,076,625.16
  5. Step 5: Solve for x
    x = 38,076,625.16/8,076.40
  6. Step 6: Final answer
    x = 4,714.55

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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.