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Finding the Fourth Proportional to 12,213.72, 16,854.94 and 6,908.43

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Solution

The fourth proportional to 12,213.72, 16,854.94 and 6,908.43 is: 9,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.72 : 16,854.94 = 6,908.43 : x
  2. Step 2: Convert to fraction form
    12,213.72/16,854.94 = 6,908.43/x
  3. Step 3: Cross multiply
    12,213.72x = 16,854.94 × 6,908.43
  4. Step 4: Simplify right side
    12,213.72x = 116,441,173.14
  5. Step 5: Solve for x
    x = 116,441,173.14/12,213.72
  6. Step 6: Final answer
    x = 9,533.64

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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.