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Finding the Fourth Proportional to 11,387, 17,080.53 and 3,179

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Solution

The fourth proportional to 11,387, 17,080.53 and 3,179 is: 4,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387 : 17,080.53 = 3,179 : x
  2. Step 2: Convert to fraction form
    11,387/17,080.53 = 3,179/x
  3. Step 3: Cross multiply
    11,387x = 17,080.53 × 3,179
  4. Step 4: Simplify right side
    11,387x = 54,299,004.87
  5. Step 5: Solve for x
    x = 54,299,004.87/11,387
  6. Step 6: Final answer
    x = 4,768.51

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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.