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Finding the Fourth Proportional to 11,384, 17,078.88 and 3,176

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Solution

The fourth proportional to 11,384, 17,078.88 and 3,176 is: 4,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384 : 17,078.88 = 3,176 : x
  2. Step 2: Convert to fraction form
    11,384/17,078.88 = 3,176/x
  3. Step 3: Cross multiply
    11,384x = 17,078.88 × 3,176
  4. Step 4: Simplify right side
    11,384x = 54,242,522.88
  5. Step 5: Solve for x
    x = 54,242,522.88/11,384
  6. Step 6: Final answer
    x = 4,764.80

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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.