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Finding the Fourth Proportional to 11,387, 17,083.38 and 3,179

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Solution

The fourth proportional to 11,387, 17,083.38 and 3,179 is: 4,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387 : 17,083.38 = 3,179 : x
  2. Step 2: Convert to fraction form
    11,387/17,083.38 = 3,179/x
  3. Step 3: Cross multiply
    11,387x = 17,083.38 × 3,179
  4. Step 4: Simplify right side
    11,387x = 54,308,065.02
  5. Step 5: Solve for x
    x = 54,308,065.02/11,387
  6. Step 6: Final answer
    x = 4,769.30

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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.