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Finding the Fourth Proportional to 12,259, 16,917.69 and 6,670

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Solution

The fourth proportional to 12,259, 16,917.69 and 6,670 is: 9,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259 : 16,917.69 = 6,670 : x
  2. Step 2: Convert to fraction form
    12,259/16,917.69 = 6,670/x
  3. Step 3: Cross multiply
    12,259x = 16,917.69 × 6,670
  4. Step 4: Simplify right side
    12,259x = 112,840,992.30
  5. Step 5: Solve for x
    x = 112,840,992.30/12,259
  6. Step 6: Final answer
    x = 9,204.75

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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.