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Finding the Fourth Proportional to 11,205.94, 16,787.04 and 8,238.92

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Solution

The fourth proportional to 11,205.94, 16,787.04 and 8,238.92 is: 12,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.94 : 16,787.04 = 8,238.92 : x
  2. Step 2: Convert to fraction form
    11,205.94/16,787.04 = 8,238.92/x
  3. Step 3: Cross multiply
    11,205.94x = 16,787.04 × 8,238.92
  4. Step 4: Simplify right side
    11,205.94x = 138,307,079.60
  5. Step 5: Solve for x
    x = 138,307,079.60/11,205.94
  6. Step 6: Final answer
    x = 12,342.30

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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.