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Finding the Fourth Proportional to 12,380, 17,084.66 and 6,791

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Solution

The fourth proportional to 12,380, 17,084.66 and 6,791 is: 9,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380 : 17,084.66 = 6,791 : x
  2. Step 2: Convert to fraction form
    12,380/17,084.66 = 6,791/x
  3. Step 3: Cross multiply
    12,380x = 17,084.66 × 6,791
  4. Step 4: Simplify right side
    12,380x = 116,021,926.06
  5. Step 5: Solve for x
    x = 116,021,926.06/12,380
  6. Step 6: Final answer
    x = 9,371.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.