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Finding the Fourth Proportional to 8,235.10, 12,364.95 and 8,112.08

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Solution

The fourth proportional to 8,235.10, 12,364.95 and 8,112.08 is: 12,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.10 : 12,364.95 = 8,112.08 : x
  2. Step 2: Convert to fraction form
    8,235.10/12,364.95 = 8,112.08/x
  3. Step 3: Cross multiply
    8,235.10x = 12,364.95 × 8,112.08
  4. Step 4: Simplify right side
    8,235.10x = 100,305,361.21
  5. Step 5: Solve for x
    x = 100,305,361.21/8,235.10
  6. Step 6: Final answer
    x = 12,180.23

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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.