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Finding the Fourth Proportional to 12,817, 17,687.46 and 6,929

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Solution

The fourth proportional to 12,817, 17,687.46 and 6,929 is: 9,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817 : 17,687.46 = 6,929 : x
  2. Step 2: Convert to fraction form
    12,817/17,687.46 = 6,929/x
  3. Step 3: Cross multiply
    12,817x = 17,687.46 × 6,929
  4. Step 4: Simplify right side
    12,817x = 122,556,410.34
  5. Step 5: Solve for x
    x = 122,556,410.34/12,817
  6. Step 6: Final answer
    x = 9,562.02

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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.