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Finding the Fourth Proportional to 12,662.66, 17,474 and 6,997.30

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Solution

The fourth proportional to 12,662.66, 17,474 and 6,997.30 is: 9,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.66 : 17,474 = 6,997.30 : x
  2. Step 2: Convert to fraction form
    12,662.66/17,474 = 6,997.30/x
  3. Step 3: Cross multiply
    12,662.66x = 17,474 × 6,997.30
  4. Step 4: Simplify right side
    12,662.66x = 122,270,820.20
  5. Step 5: Solve for x
    x = 122,270,820.20/12,662.66
  6. Step 6: Final answer
    x = 9,656.01

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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.