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Finding the Fourth Proportional to 12,251.64, 16,911.08 and 6,949.96

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Solution

The fourth proportional to 12,251.64, 16,911.08 and 6,949.96 is: 9,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.64 : 16,911.08 = 6,949.96 : x
  2. Step 2: Convert to fraction form
    12,251.64/16,911.08 = 6,949.96/x
  3. Step 3: Cross multiply
    12,251.64x = 16,911.08 × 6,949.96
  4. Step 4: Simplify right side
    12,251.64x = 117,531,329.56
  5. Step 5: Solve for x
    x = 117,531,329.56/12,251.64
  6. Step 6: Final answer
    x = 9,593.11

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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.