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Finding the Fourth Proportional to 11,172, 16,758.54 and 3,380.88

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Solution

The fourth proportional to 11,172, 16,758.54 and 3,380.88 is: 5,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172 : 16,758.54 = 3,380.88 : x
  2. Step 2: Convert to fraction form
    11,172/16,758.54 = 3,380.88/x
  3. Step 3: Cross multiply
    11,172x = 16,758.54 × 3,380.88
  4. Step 4: Simplify right side
    11,172x = 56,658,612.72
  5. Step 5: Solve for x
    x = 56,658,612.72/11,172
  6. Step 6: Final answer
    x = 5,071.48

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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.