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Finding the Fourth Proportional to 12,212.00, 16,852.94 and 6,906.71

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Solution

The fourth proportional to 12,212.00, 16,852.94 and 6,906.71 is: 9,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.00 : 16,852.94 = 6,906.71 : x
  2. Step 2: Convert to fraction form
    12,212.00/16,852.94 = 6,906.71/x
  3. Step 3: Cross multiply
    12,212.00x = 16,852.94 × 6,906.71
  4. Step 4: Simplify right side
    12,212.00x = 116,398,250.43
  5. Step 5: Solve for x
    x = 116,398,250.43/12,212.00
  6. Step 6: Final answer
    x = 9,531.47

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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.