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Finding the Fourth Proportional to 12,213.40, 16,854.82 and 6,909

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Solution

The fourth proportional to 12,213.40, 16,854.82 and 6,909 is: 9,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.40 : 16,854.82 = 6,909 : x
  2. Step 2: Convert to fraction form
    12,213.40/16,854.82 = 6,909/x
  3. Step 3: Cross multiply
    12,213.40x = 16,854.82 × 6,909
  4. Step 4: Simplify right side
    12,213.40x = 116,449,951.38
  5. Step 5: Solve for x
    x = 116,449,951.38/12,213.40
  6. Step 6: Final answer
    x = 9,534.61

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1.5x scale

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.