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Finding the Fourth Proportional to 12,397, 17,107.76 and 6,731.64

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Solution

The fourth proportional to 12,397, 17,107.76 and 6,731.64 is: 9,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397 : 17,107.76 = 6,731.64 : x
  2. Step 2: Convert to fraction form
    12,397/17,107.76 = 6,731.64/x
  3. Step 3: Cross multiply
    12,397x = 17,107.76 × 6,731.64
  4. Step 4: Simplify right side
    12,397x = 115,163,281.53
  5. Step 5: Solve for x
    x = 115,163,281.53/12,397
  6. Step 6: Final answer
    x = 9,289.61

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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.