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Finding the Fourth Proportional to 11,128, 16,658.72 and 6,732.16

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Solution

The fourth proportional to 11,128, 16,658.72 and 6,732.16 is: 10,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,128 : 16,658.72 = 6,732.16 : x
  2. Step 2: Convert to fraction form
    11,128/16,658.72 = 6,732.16/x
  3. Step 3: Cross multiply
    11,128x = 16,658.72 × 6,732.16
  4. Step 4: Simplify right side
    11,128x = 112,149,168.44
  5. Step 5: Solve for x
    x = 112,149,168.44/11,128
  6. Step 6: Final answer
    x = 10,078.11

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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.