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Finding the Fourth Proportional to 12,159.68, 16,786.68 and 8,201.60

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Solution

The fourth proportional to 12,159.68, 16,786.68 and 8,201.60 is: 11,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.68 : 16,786.68 = 8,201.60 : x
  2. Step 2: Convert to fraction form
    12,159.68/16,786.68 = 8,201.60/x
  3. Step 3: Cross multiply
    12,159.68x = 16,786.68 × 8,201.60
  4. Step 4: Simplify right side
    12,159.68x = 137,677,634.69
  5. Step 5: Solve for x
    x = 137,677,634.69/12,159.68
  6. Step 6: Final answer
    x = 11,322.47

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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.