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Finding the Fourth Proportional to 12,397, 17,108.28 and 6,808

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Solution

The fourth proportional to 12,397, 17,108.28 and 6,808 is: 9,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397 : 17,108.28 = 6,808 : x
  2. Step 2: Convert to fraction form
    12,397/17,108.28 = 6,808/x
  3. Step 3: Cross multiply
    12,397x = 17,108.28 × 6,808
  4. Step 4: Simplify right side
    12,397x = 116,473,170.24
  5. Step 5: Solve for x
    x = 116,473,170.24/12,397
  6. Step 6: Final answer
    x = 9,395.27

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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.